328438656
328,438,656 is an even composite number composed of five prime numbers multiplied together.
328438656 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 328438656:
27 × 32 × 7 × 132 × 241
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 13 × 13 × 241)See below for interesting mathematical facts about the number 328438656 from the Numbermatics database.
Names of 328438656
- Cardinal: 328438656 can be written as Three hundred twenty-eight million, four hundred thirty-eight thousand, six hundred fifty-six.
Scientific notation
- Scientific notation: 3.28438656 × 108
Factors of 328438656
Divisors of 328438656
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 64 72 78 84 91 96 104 112 117 126 128 144 156 168 169 182 192 208 224 234 241 252 273 288 312 336 338 364 384 416 448 468 482 504 507 546 576 624 672 676 723 728 819 832 896 936 964 1008 1014 1092 1152 1183 1248 1344 1352 1446 1456 1521 1638 1664 1687 1872 1928 2016 2028 2169 2184 2366 2496 2688 2704 2892 2912 3042 3133 3276 3374 3549 3744 3856 4032 4056 4338 4368 4732 4992 5061 5408 5784 5824 6084 6266 6552 6748 7098 7488 7712 8064 8112 8676 8736 9399 9464 10122 10647 10816 11568 11648 12168 12532 13104 13496 14196 14976 15183 15424 16224 17352 17472 18798 18928 20244 21294 21632 21931 23136 24336 25064 26208 26992 28197 28392 30366 30848 32448 34704 34944 37596 37856 40488 40729 42588 43862 46272 48672 50128 52416 53984 56394 56784 60732 64896 65793 69408 75192 75712 80976 81458 85176 87724 92544 97344 100256 104832 107968 112788 113568 121464 122187 131586 138816 150384 151424 161952 162916 170352 175448 194688 197379 200512 215936 225576 227136 242928 244374 263172 277632 285103 300768 323904 325832 340704 350896 366561 394758 401024 451152 454272 485856 488748 526344 570206 601536 647808 651664 681408 701792 733122 789516 855309 902304 971712 977496 1052688 1140412 1203072 1303328 1362816 1403584 1466244 1579032 1710618 1804608 1943424 1954992 2105376 2280824 2565927 2606656 2807168 2932488 3158064 3421236 3609216 3909984 4210752 4561648 5131854 5213312 5864976 6316128 6842472 7819968 8421504 9123296 10263708 11729952 12632256 13684944 15639936 18246592 20527416 23459904 25264512 27369888 36493184 41054832 46919808 54739776 82109664 109479552 164219328 328438656
- Sum of all divisors σ(n): 1174464720
- Sum of proper divisors (its aliquot sum) s(n): 846026064
- 328438656 is an abundant number, because the sum of its proper divisors (846026064) is greater than itself. Its abundance is 517587408
Bases of 328438656
- Binary: 100111001001110010011100000002
- Hexadecimal: 0x13939380
- Base-36: 5FJKW0
Squares and roots of 328438656
- 328438656 squared (3284386562) is 107871950755086336
- 328438656 cubed (3284386563) is 35429318526098741359804416
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The
square root of 328438656 is 18122.8765928591 -
The
cube root of 328438656 is 689.9507463267
Scales and comparisons
How big is 328438656?- 328,438,656 seconds is equal to 10 years, 23 weeks, 8 hours, 57 minutes, 36 seconds.
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To count from 1 to 328,438,656 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 328438656 cubic inches would be around 57.5 feet tall.
Recreational maths with 328438656
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"Number 328438656 - Facts about the integer". Numbermatics.com. 2024. Web. 9 May 2024.
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