328890432
328,890,432 is an even composite number composed of six prime numbers multiplied together.
328890432 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 328890432:
26 × 3 × 13 × 17 × 23 × 337
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 17 × 23 × 337)See below for interesting mathematical facts about the number 328890432 from the Numbermatics database.
Names of 328890432
- Cardinal: 328890432 can be written as Three hundred twenty-eight million, eight hundred ninety thousand, four hundred thirty-two.
Scientific notation
- Scientific notation: 3.28890432 × 108
Factors of 328890432
Divisors of 328890432
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 3 4 6 8 12 13 16 17 23 24 26 32 34 39 46 48 51 52 64 68 69 78 92 96 102 104 136 138 156 184 192 204 208 221 272 276 299 312 337 368 391 408 416 442 544 552 598 624 663 674 736 782 816 832 884 897 1011 1088 1104 1173 1196 1248 1326 1348 1472 1564 1632 1768 1794 2022 2208 2346 2392 2496 2652 2696 3128 3264 3536 3588 4044 4381 4416 4692 4784 5083 5304 5392 5729 6256 7072 7176 7751 8088 8762 9384 9568 10166 10608 10784 11458 12512 13143 14144 14352 15249 15502 16176 17187 17524 18768 19136 20332 21216 21568 22916 23253 25024 26286 28704 30498 31004 32352 34374 35048 37536 40664 42432 45832 46506 52572 57408 60996 62008 64704 68748 70096 74477 75072 81328 91664 93012 100763 105144 121992 124016 131767 137496 140192 148954 162656 183328 186024 201526 210288 223431 243984 248032 263534 274992 280384 297908 302289 325312 366656 372048 395301 403052 420576 446862 487968 496064 527068 549984 595816 604578 744096 790602 806104 841152 893724 975936 1054136 1099968 1191632 1209156 1488192 1581204 1612208 1712971 1787448 2108272 2383264 2418312 3162408 3224416 3425942 3574896 4216544 4766528 4836624 5138913 6324816 6448832 6851884 7149792 8433088 9673248 10277826 12649632 13703768 14299584 19346496 20555652 25299264 27407536 41111304 54815072 82222608 109630144 164445216 328890432
- Sum of all divisors σ(n): 1038465792
- Sum of proper divisors (its aliquot sum) s(n): 709575360
- 328890432 is an abundant number, because the sum of its proper divisors (709575360) is greater than itself. Its abundance is 380684928
Bases of 328890432
- Binary: 100111001101001111000010000002
- Hexadecimal: 0x139A7840
- Base-36: 5FT9HC
Squares and roots of 328890432
- 328890432 squared (3288904322) is 108168916261146624
- 328890432 cubed (3288904323) is 35575721598100337982701568
-
The
square root of 328890432 is 18135.3365560169 -
The
cube root of 328890432 is 690.2669498481
Scales and comparisons
How big is 328890432?- 328,890,432 seconds is equal to 10 years, 23 weeks, 5 days, 14 hours, 27 minutes, 12 seconds.
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To count from 1 to 328,890,432 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 328890432 cubic inches would be around 57.5 feet tall.
Recreational maths with 328890432
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