381326400
381,326,400 is an even composite number composed of six prime numbers multiplied together.
381326400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 381326400:
26 × 33 × 52 × 7 × 13 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 13 × 97)See below for interesting mathematical facts about the number 381326400 from the Numbermatics database.
Names of 381326400
- Cardinal: 381326400 can be written as Three hundred eighty-one million, three hundred twenty-six thousand, four hundred.
Scientific notation
- Scientific notation: 3.813264 × 108
Factors of 381326400
Divisors of 381326400
- Number of divisors d(n): 672
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 27 28 30 32 35 36 39 40 42 45 48 50 52 54 56 60 63 64 65 70 72 75 78 80 84 90 91 96 97 100 104 105 108 112 117 120 126 130 135 140 144 150 156 160 168 175 180 182 189 192 194 195 200 208 210 216 224 225 234 240 252 260 270 273 280 288 291 300 312 315 320 325 336 350 351 360 364 378 388 390 400 416 420 432 448 450 455 468 480 485 504 520 525 540 546 560 576 582 585 600 624 630 650 672 675 679 700 702 720 728 756 776 780 800 819 832 840 864 873 900 910 936 945 960 970 975 1008 1040 1050 1080 1092 1120 1164 1170 1200 1248 1260 1261 1300 1344 1350 1358 1365 1400 1404 1440 1455 1456 1512 1552 1560 1575 1600 1638 1680 1728 1746 1755 1800 1820 1872 1890 1940 1950 2016 2037 2080 2100 2160 2184 2240 2275 2328 2340 2400 2425 2457 2496 2520 2522 2600 2619 2700 2716 2730 2800 2808 2880 2910 2912 2925 3024 3104 3120 3150 3276 3360 3395 3492 3510 3600 3640 3744 3780 3783 3880 3900 4032 4074 4095 4160 4200 4320 4365 4368 4550 4656 4680 4725 4800 4850 4914 5040 5044 5200 5238 5400 5432 5460 5600 5616 5820 5824 5850 6048 6111 6208 6240 6300 6305 6552 6720 6790 6825 6984 7020 7200 7275 7280 7488 7560 7566 7760 7800 8148 8190 8400 8640 8730 8736 8775 8827 9100 9312 9360 9450 9700 9828 10080 10088 10185 10400 10476 10800 10864 10920 11200 11232 11349 11640 11700 12096 12222 12285 12480 12600 12610 13095 13104 13580 13650 13968 14040 14400 14550 14560 15120 15132 15520 15600 16296 16380 16800 16975 17460 17472 17550 17654 18200 18333 18624 18720 18900 18915 19400 19656 20160 20176 20370 20475 20800 20952 21600 21728 21825 21840 22464 22698 23280 23400 24444 24570 25200 25220 26190 26208 26481 27160 27300 27936 28080 29100 29120 30240 30264 30555 31040 31200 31525 32592 32760 33600 33950 34047 34920 35100 35308 36400 36666 37440 37800 37830 38800 39312 40352 40740 40950 41904 43200 43456 43650 43680 44135 45396 46560 46800 48888 49140 50400 50440 50925 52380 52416 52962 54320 54600 55872 56160 56745 58200 60480 60528 61110 61425 62400 63050 65184 65475 65520 67900 68094 69840 70200 70616 72800 73332 75600 75660 77600 78624 79443 80704 81480 81900 83808 87300 87360 88270 90792 91665 93120 93600 94575 97776 98280 100800 100880 101850 104760 105924 108640 109200 112320 113490 116400 121056 122220 122850 126100 130368 130950 131040 132405 135800 136188 139680 140400 141232 145600 146664 151200 151320 152775 155200 157248 158886 162960 163800 167616 170235 174600 176540 181584 183330 187200 189150 195552 196560 201760 203700 209520 211848 217280 218400 220675 226980 232800 238329 242112 244440 245700 252200 261900 262080 264810 271600 272376 279360 280800 282464 283725 293328 302400 302640 305550 317772 325920 327600 340470 349200 353080 363168 366660 378300 391104 393120 397215 403520 407400 419040 423696 436800 441350 453960 458325 465600 476658 488880 491400 504400 523800 529620 543200 544752 561600 564928 567450 586656 605280 611100 635544 651840 655200 662025 680940 698400 706160 726336 733320 756600 786240 794430 814800 838080 847392 851175 882700 907920 916650 953316 977760 982800 1008800 1047600 1059240 1086400 1089504 1134900 1173312 1191645 1210560 1222200 1271088 1310400 1324050 1361880 1396800 1412320 1466640 1513200 1588860 1629600 1694784 1702350 1765400 1815840 1833300 1906632 1955520 1965600 1986075 2017600 2095200 2118480 2179008 2269800 2383290 2444400 2542176 2648100 2723760 2824640 2933280 3026400 3177720 3259200 3404700 3530800 3631680 3666600 3813264 3931200 3972150 4190400 4236960 4539600 4766580 4888800 5084352 5296200 5447520 5866560 5958225 6052800 6355440 6809400 7061600 7333200 7626528 7944300 8473920 9079200 9533160 9777600 10592400 10895040 11916450 12710880 13618800 14123200 14666400 15253056 15888600 18158400 19066320 21184800 23832900 25421760 27237600 29332800 31777200 38132640 42369600 47665800 54475200 63554400 76265280 95331600 127108800 190663200 381326400
- Sum of all divisors σ(n): 1728500480
- Sum of proper divisors (its aliquot sum) s(n): 1347174080
- 381326400 is an abundant number, because the sum of its proper divisors (1347174080) is greater than itself. Its abundance is 965847680
Bases of 381326400
- Binary: 101101011101010010100010000002
- Hexadecimal: 0x16BA9440
- Base-36: 6B15C0
Squares and roots of 381326400
- 381326400 squared (3813264002) is 145409823336960000
- 381326400 cubed (3813264003) is 55448604457718943744000000
-
The
square root of 381326400 is 19527.5804952893 -
The
cube root of 381326400 is 725.1574133029
Scales and comparisons
How big is 381326400?- 381,326,400 seconds is equal to 12 years, 6 weeks, 3 days, 12 hours.
-
To count from 1 to 381,326,400 would take you about eighteen 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 381326400 cubic inches would be around 60.4 feet tall.
Recreational maths with 381326400
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