345830342400

Names of 345830342400

• Cardinal: 345830342400 can be written as Three hundred forty-five billion, eight hundred thirty million, three hundred forty-two thousand, four hundred.

Scientific notation

• Scientific notation: 3.458303424 × 10¹¹

Factors of 345830342400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 411

Divisors of 345830342400

• Number of divisors d(n): 1080
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 41 45 48 50 53 54 60 64 72 75 80 81 82 90 96 100 106 108 120 123 128 135 144 150 159 160 162 164 180 192 200 205 212 216 225 240 246 256 265 270 288 300 307 318 320 324 328 360 369 384 400 405 410 424 432 450 477 480 492 530 540 576 600 614 615 636 640 648 656 675 720 738 768 795 800 810 820 848 864 900 921 954 960 984 1025 1060 1080 1107 1152 1200 1228 1230 1272 1280 1296 1312 1325 1350 1431 1440 1476 1535 1590 1600 1620 1640 1696 1728 1800 1842 1845 1908 1920 1968 2025 2050 2120 2160 2173 2214 2304 2385 2400 2456 2460 2544 2592 2624 2650 2700 2763 2862 2880 2952 3070 3075 3180 3200 3240 3280 3321 3392 3456 3600 3684 3690 3816 3840 3936 3975 4050 4100 4240 4293 4320 4346 4428 4605 4770 4800 4912 4920 5088 5184 5248 5300 5400 5526 5535 5724 5760 5904 6140 6150 6360 6400 6480 6519 6560 6642 6784 6912 7155 7200 7368 7380 7632 7675 7872 7950 8100 8200 8289 8480 8586 8640 8692 8856 9210 9225 9540 9600 9824 9840 10176 10368 10496 10600 10800 10865 11052 11070 11448 11520 11808 11925 12280 12300 12587 12720 12960 13038 13120 13284 13568 13815 14310 14400 14736 14760 15264 15350 15744 15900 16200 16271 16400 16578 16605 16960 17172 17280 17384 17712 18420 18450 19080 19200 19557 19648 19680 20352 20736 21200 21465 21600 21730 22104 22140 22896 23025 23616 23850 24560 24600 24867 25174 25440 25920 26076 26240 26568 27630 27675 28620 28800 29472 29520 30528 30700 31488 31800 32400 32542 32595 32800 33156 33210 33920 34344 34560 34768 35424 35775 36840 36900 37761 38160 39114 39296 39360 40704 41445 42400 42930 43200 43460 44208 44280 45792 46050 47232 47700 48813 49120 49200 49734 50348 50880 51840 52152 52480 53136 54325 55260 55350 57240 57600 58671 58944 59040 61056 61400 62935 63600 64800 65084 65190 65600 66312 66420 67840 68688 69075 69536 70848 71550 73680 73800 75522 76320 78228 78592 78720 81355 82890 83025 84800 85860 86400 86920 88416 88560 91584 92100 94464 95400 97626 97785 98240 98400 99468 100696 101760 103680 104304 106272 107325 108650 110520 110700 113283 114480 117342 117888 118080 122112 122800 124335 125870 127200 129600 130168 130380 131200 132624 132840 137376 138150 139072 141696 143100 146439 147360 147600 151044 152640 156456 157440 162710 162975 165780 166050 169600 171720 172800 173840 176013 176832 177120 183168 184200 188805 190800 195252 195570 196480 196800 198936 201392 203520 207225 208608 212544 214650 217300 221040 221400 226566 228960 234684 235776 236160 244065 245600 248670 251740 254400 259200 260336 260760 262400 265248 265680 274752 276300 278144 283392 286200 292878 293355 294720 295200 302088 305280 312912 314675 325420 325950 331560 332100 339200 339849 343440 347680 352026 353664 354240 366336 368400 377610 381600 390504 391140 392960 393600 397872 402784 406775 414450 417216 425088 429300 434600 439317 442080 442800 453132 457920 469368 472320 488130 488925 491200 497340 503480 508800 518400 520672 521520 530496 531360 549504 552600 556288 566415 572400 585756 586710 589440 590400 604176 610560 621675 625824 629350 650840 651900 663120 664200 667111 679698 686880 695360 704052 707328 708480 732195 736800 755220 763200 781008 782280 787200 795744 805568 813550 828900 834432 850176 858600 869200 878634 880065 884160 885600 906264 915840 938736 944025 976260 977850 982400 994680 1006960 1017600 1019547 1041344 1043040 1060992 1062720 1099008 1105200 1132830 1144800 1171512 1173420 1178880 1180800 1208352 1220325 1243350 1251648 1258700 1301680 1303800 1317951 1326240 1328400 1334222 1359396 1373760 1390720 1408104 1416960 1464390 1466775 1473600 1510440 1526400 1562016 1564560 1591488 1611136 1627100 1657800 1668864 1699245 1717200 1738400 1757268 1760130 1768320 1771200 1812528 1831680 1877472 1888050 1952520 1955700 1964800 1989360 2001333 2013920 2039094 2082688 2086080 2121984 2125440 2196585 2210400 2265660 2289600 2343024 2346840 2361600 2416704 2440650 2486700 2503296 2517400 2603360 2607600 2635902 2652480 2656800 2668444 2718792 2747520 2781440 2816208 2832075 2928780 2933550 2947200 3020880 3052800 3124032 3129120 3182976 3222272 3254200 3315600 3335555 3398490 3434400 3476800 3514536 3520260 3536640 3542400 3625056 3660975 3754944 3776100 3905040 3911400 3978720 4002666 4027840 4078188 4165376 4172160 4250880 4393170 4400325 4420800 4531320 4579200 4686048 4693680 4833408 4881300 4973400 5006592 5034800 5097735 5206720 5215200 5271804 5304960 5313600 5336888 5437584 5495040 5632416 5664150 5857560 5867100 5894400 6003999 6041760 6248064 6258240 6365952 6508400 6589755 6631200 6671110 6796980 6868800 6953600 7029072 7040520 7084800 7250112 7321950 7509888 7552200 7810080 7822800 7957440 8005332 8055680 8156376 8344320 8496225 8786340 8800650 8841600 9062640 9158400 9372096 9387360 9666816 9762600 9946800 10006665 10069600 10195470 10413440 10430400 10543608 10609920 10627200 10673776 10875168 10982925 11264832 11328300 11715120 11734200 12007998 12083520 12496128 12516480 13016800 13179510 13262400 13342220 13593960 13737600 13907200 14058144 14081040 14500224 14643900 15019776 15104400 15620160 15645600 15914880 16010664 16111360 16312752 16677775 16992450 17572680 17601300 17683200 18011997 18125280 18744192 18774720 19525200 19893600 20013330 20139200 20390940 20826880 20860800 21087216 21254400 21347552 21750336 21965850 22529664 22656600 23430240 23468400 24015996 24167040 25032960 25488675 26033600 26359020 26524800 26684440 27187920 27475200 28116288 28162080 29000448 29287800 30019995 30208800 31240320 31291200 31829760 32021328 32625504 32948775 33355550 33984900 35145360 35202600 36023994 36250560 37488384 37549440 39050400 39787200 40026660 40278400 40781880 41721600 42174432 42695104 43500672 43931700 45059328 45313200 46860480 46936800 48031992 48334080 50033325 50977350 52067200 52718040 53049600 53368880 54035991 54375840 56232576 56324160 58575600 60039990 60417600 62480640 62582400 64042656 65251008 65897550 66711100 67969800 70290720 70405200 72047988 72501120 75098880 78100800 79574400 80053320 80556800 81563760 84348864 85390208 87001344 87863400 90059985 90626400 93720960 93873600 96063984 100066650 101954700 104134400 105436080 106737760 108071982 108751680 112465152 112648320 117151200 120079980 120835200 125164800 128085312 130502016 131795100 133422200 135939600 140581440 140810400 144095976 145002240 150099975 156201600 159148800 160106640 163127520 168697728 170780416 175726800 180119970 181252800 187441920 187747200 192127968 200133300 203909400 210872160 213475520 216143964 217503360 225296640 234302400 240159960 241670400 256170624 261004032 263590200 266844400 270179955 271879200 281162880 281620800 288191952 300199950 312403200 320213280 326255040 337395456 351453600 360239940 362505600 375494400 384255936 400266600 407818800 421744320 426951040 432287928 435006720 450299925 468604800 480319920 512341248 527180400 533688800 540359910 543758400 562325760 563241600 576383904 600399900 640426560 652510080 702907200 720479880 725011200 768511872 800533200 815637600 843488640 853902080 864575856 900599850 937209600 960639840 1054360800 1067377600 1080719820 1087516800 1126483200 1152767808 1200799800 1280853120 1305020160 1350899775 1405814400 1440959760 1537023744 1601066400 1631275200 1686977280 1729151712 1801199700 1921279680 2108721600 2134755200 2161439640 2175033600 2305535616 2401599600 2561706240 2701799550 2811628800 2881919520 3202132800 3262550400 3458303424 3602399400 3842559360 4217443200 4269510400 4322879280 4611071232 4803199200 5403599100 5763839040 6404265600 6525100800 6916606848 7204798800 7685118720 8434886400 8645758560 9606398400 10807198200 11527678080 12808531200 13833213696 14409597600 17291517120 19212796800 21614396400 23055356160 28819195200 34583034240 38425593600 43228792800 57638390400 69166068480 86457585600 115276780800 172915171200 345830342400
• Sum of all divisors σ(n): 1338941895984
• Sum of proper divisors (its aliquot sum) s(n): 993111553584
• 345830342400 is an abundant number, because the sum of its proper divisors (993111553584) is greater than itself. Its abundance is 647281211184

Bases of 345830342400

• Binary: 101000010000101000110000011111100000000₂
• Hexadecimal: 0x5085183F00
• Base-36: 4EVEGG00

Squares and roots of 345830342400

• 345830342400 squared (345830342400²) is 119598625724501237760000
• 345830342400 cubed (345830342400³) is 41360833684873711123764609024000000
• The square root of 345830342400 is 588073.4158249291
• The cube root of 345830342400 is 7019.2013117201

Scales and comparisons

• 345,830,342,400 seconds is equal to 10,996 years, 17 weeks, 3 days.
• To count from 1 to 345,830,342,400 would take you about twenty-one thousand, nine hundred ninety-two years!

  This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 345830342400 cubic inches would be around 584.9 feet tall.

Recreational maths with 345830342400

• 345830342400 backwards is 004243038543
• 345830342400 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 345830342400's digits is 36
• More coming soon!