830968320
830,968,320 is an even composite number composed of seven prime numbers multiplied together.
830968320 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six hundred forty divisors.
Prime factorization of 830968320:
29 × 3 × 5 × 7 × 13 × 29 × 41
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 13 × 29 × 41)See below for interesting mathematical facts about the number 830968320 from the Numbermatics database.
Names of 830968320
- Cardinal: 830968320 can be written as Eight hundred thirty million, nine hundred sixty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 8.3096832 × 108
Factors of 830968320
Divisors of 830968320
- Number of divisors d(n): 640
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 29 30 32 35 39 40 41 42 48 52 56 58 60 64 65 70 78 80 82 84 87 91 96 104 105 112 116 120 123 128 130 140 145 156 160 164 168 174 182 192 195 203 205 208 210 224 232 240 246 256 260 273 280 287 290 312 320 328 336 348 364 377 384 390 406 410 416 420 435 448 455 464 480 492 512 520 533 546 560 574 580 609 615 624 640 656 672 696 728 754 768 780 812 820 832 840 861 870 896 910 928 960 984 1015 1040 1066 1092 1120 1131 1148 1160 1189 1218 1230 1248 1280 1312 1344 1365 1392 1435 1456 1508 1536 1560 1599 1624 1640 1664 1680 1722 1740 1792 1820 1856 1885 1920 1968 2030 2080 2132 2184 2240 2262 2296 2320 2378 2436 2460 2496 2560 2624 2639 2665 2688 2730 2784 2870 2912 3016 3045 3120 3198 3248 3280 3328 3360 3444 3480 3567 3584 3640 3712 3731 3770 3840 3936 4060 4160 4264 4305 4368 4480 4524 4592 4640 4756 4872 4920 4992 5248 5278 5330 5376 5460 5568 5655 5740 5824 5945 6032 6090 6240 6396 6496 6560 6656 6720 6888 6960 7134 7280 7424 7462 7540 7680 7872 7917 7995 8120 8320 8323 8528 8610 8736 8960 9048 9184 9280 9512 9744 9840 9984 10496 10556 10660 10752 10920 11136 11193 11310 11480 11648 11890 12064 12180 12480 12792 12992 13120 13195 13440 13776 13920 14268 14560 14848 14924 15080 15457 15744 15834 15990 16240 16640 16646 17056 17220 17472 17835 17920 18096 18368 18560 18655 19024 19488 19680 19968 20992 21112 21320 21840 22272 22386 22620 22960 23296 23780 24128 24360 24960 24969 25584 25984 26240 26390 26880 27552 27840 28536 29120 29848 30160 30914 31488 31668 31980 32480 33280 33292 34112 34440 34944 35670 36192 36736 37120 37310 38048 38976 39360 39585 41615 42224 42640 43680 44544 44772 45240 45920 46371 46592 47560 48256 48720 49920 49938 51168 51968 52480 52780 53760 55104 55680 55965 57072 58240 59696 60320 61828 62976 63336 63960 64960 66584 68224 68880 69888 71340 72384 73472 74240 74620 76096 77285 77952 78720 79170 83230 84448 85280 87360 89544 90480 91840 92742 95120 96512 97440 99840 99876 102336 103936 104960 105560 108199 110208 111360 111930 114144 116480 119392 120640 123656 124845 126672 127920 129920 133168 136448 137760 139776 142680 144768 146944 149240 152192 154570 155904 157440 158340 166460 168896 170560 174720 179088 180960 183680 185484 190240 193024 194880 199752 204672 211120 216398 220416 222720 223860 228288 231855 232960 238784 241280 247312 249690 253344 255840 259840 266336 272896 275520 285360 289536 298480 304384 309140 311808 314880 316680 324597 332920 337792 341120 349440 358176 361920 367360 370968 380480 389760 399504 409344 422240 432796 440832 447720 456576 463710 477568 482560 494624 499380 506688 511680 519680 532672 540995 551040 570720 579072 596960 608768 618280 633360 649194 665840 675584 682240 698880 716352 723840 734720 741936 760960 779520 799008 818688 844480 865592 895440 913152 927420 955136 965120 989248 998760 1013376 1023360 1065344 1081990 1102080 1141440 1193920 1236560 1266720 1298388 1331680 1351168 1364480 1432704 1447680 1483872 1521920 1559040 1598016 1622985 1688960 1731184 1790880 1826304 1854840 1910272 1978496 1997520 2026752 2046720 2130688 2163980 2204160 2282880 2387840 2473120 2533440 2596776 2663360 2865408 2895360 2967744 3043840 3196032 3245970 3377920 3462368 3581760 3709680 3956992 3995040 4053504 4093440 4261376 4327960 4565760 4775680 4946240 5066880 5193552 5326720 5730816 5935488 6392064 6491940 6755840 6924736 7163520 7419360 7913984 7990080 8655920 9131520 9551360 9892480 10133760 10387104 10653440 11870976 12784128 12983880 13849472 14327040 14838720 15980160 17311840 19784960 20267520 20774208 21306880 23741952 25967760 27698944 28654080 29677440 31960320 34623680 39569920 41548416 51935520 55397888 59354880 63920640 69247360 83096832 103871040 118709760 138494720 166193664 207742080 276989440 415484160 830968320
- Sum of all divisors σ(n): 3464778240
- Sum of proper divisors (its aliquot sum) s(n): 2633809920
- 830968320 is an abundant number, because the sum of its proper divisors (2633809920) is greater than itself. Its abundance is 1802841600
Bases of 830968320
- Binary: 1100011000011110010010000000002
- Hexadecimal: 0x31879200
- Base-36: DQQJ9C
Squares and roots of 830968320
- 830968320 squared (8309683202) is 690508348843622400
- 830968320 cubed (8309683203) is 573790562584558848442368000
-
The
square root of 830968320 is 28826.5211220501 -
The
cube root of 830968320 is 940.1449602909
Scales and comparisons
How big is 830968320?- 830,968,320 seconds is equal to 26 years, 21 weeks, 6 days, 16 hours, 32 minutes.
-
To count from 1 to 830,968,320 would take you about thirty-nine 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 830968320 cubic inches would be around 78.3 feet tall.
Recreational maths with 830968320
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