328964640
328,964,640 is an even composite number composed of six prime numbers multiplied together.
328964640 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 328964640:
25 × 3 × 5 × 53 × 67 × 193
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 53 × 67 × 193)See below for interesting mathematical facts about the number 328964640 from the Numbermatics database.
Names of 328964640
- Cardinal: 328964640 can be written as Three hundred twenty-eight million, nine hundred sixty-four thousand, six hundred forty.
Scientific notation
- Scientific notation: 3.2896464 × 108
Factors of 328964640
Divisors of 328964640
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 53 60 67 80 96 106 120 134 159 160 193 201 212 240 265 268 318 335 386 402 424 480 530 536 579 636 670 772 795 804 848 965 1005 1060 1072 1158 1272 1340 1544 1590 1608 1696 1930 2010 2120 2144 2316 2544 2680 2895 3088 3180 3216 3551 3860 4020 4240 4632 5088 5360 5790 6176 6360 6432 7102 7720 8040 8480 9264 10229 10653 10720 11580 12720 12931 14204 15440 16080 17755 18528 20458 21306 23160 25440 25862 28408 30687 30880 32160 35510 38793 40916 42612 46320 51145 51724 53265 56816 61374 64655 71020 77586 81832 85224 92640 102290 103448 106530 113632 122748 129310 142040 153435 155172 163664 170448 193965 204580 206896 213060 245496 258620 284080 306870 310344 327328 340896 387930 409160 413792 426120 490992 517240 568160 613740 620688 685343 775860 818320 852240 981984 1034480 1227480 1241376 1370686 1551720 1636640 1704480 2056029 2068960 2454960 2741372 3103440 3426715 4112058 4909920 5482744 6206880 6853430 8224116 10280145 10965488 13706860 16448232 20560290 21930976 27413720 32896464 41120580 54827440 65792928 82241160 109654880 164482320 328964640
- Sum of all divisors σ(n): 1077100416
- Sum of proper divisors (its aliquot sum) s(n): 748135776
- 328964640 is an abundant number, because the sum of its proper divisors (748135776) is greater than itself. Its abundance is 419171136
Bases of 328964640
- Binary: 100111001101110011010001000002
- Hexadecimal: 0x139B9A20
- Base-36: 5FUUQO
Squares and roots of 328964640
- 328964640 squared (3289646402) is 108217734370329600
- 328964640 cubed (3289646403) is 35599808028751103545344000
-
The
square root of 328964640 is 18137.3823910727 -
The
cube root of 328964640 is 690.3188612375
Scales and comparisons
How big is 328964640?- 328,964,640 seconds is equal to 10 years, 23 weeks, 6 days, 11 hours, 4 minutes.
-
To count from 1 to 328,964,640 would take you about fifteen 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 328964640 cubic inches would be around 57.5 feet tall.
Recreational maths with 328964640
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