331379328
331,379,328 is an even composite number composed of six prime numbers multiplied together.
331379328 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 331379328:
27 × 3 × 7 × 43 × 47 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 43 × 47 × 61)See below for interesting mathematical facts about the number 331379328 from the Numbermatics database.
Names of 331379328
- Cardinal: 331379328 can be written as Three hundred thirty-one million, three hundred seventy-nine thousand, three hundred twenty-eight.
Scientific notation
- Scientific notation: 3.31379328 × 108
Factors of 331379328
Divisors of 331379328
- Number of divisors d(n): 256
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 47 48 56 61 64 84 86 94 96 112 122 128 129 141 168 172 183 188 192 224 244 258 282 301 329 336 344 366 376 384 427 448 488 516 564 602 658 672 688 732 752 854 896 903 976 987 1032 1128 1204 1281 1316 1344 1376 1464 1504 1708 1806 1952 1974 2021 2064 2256 2408 2562 2623 2632 2688 2752 2867 2928 3008 3416 3612 3904 3948 4042 4128 4512 4816 5124 5246 5264 5504 5734 5856 6016 6063 6832 7224 7808 7869 7896 8084 8256 8601 9024 9632 10248 10492 10528 11468 11712 12126 13664 14147 14448 15738 15792 16168 16512 17202 18048 18361 19264 20069 20496 20984 21056 22936 23424 24252 27328 28294 28896 31476 31584 32336 34404 36722 38528 40138 40992 41968 42112 42441 45872 48504 54656 55083 56588 57792 60207 62952 63168 64672 68808 73444 80276 81984 83936 84882 91744 97008 110166 113176 115584 120414 123281 125904 126336 129344 137616 146888 160552 163968 167872 169764 183488 194016 220332 226352 240828 246562 251808 258688 275232 293776 321104 335744 339528 366976 369843 388032 440664 452704 481656 493124 503616 550464 587552 642208 679056 739686 776064 862967 881328 905408 963312 986248 1007232 1100928 1175104 1284416 1358112 1479372 1725934 1762656 1810816 1926624 1972496 2350208 2568832 2588901 2716224 2958744 3451868 3525312 3853248 3944992 5177802 5432448 5917488 6903736 7050624 7706496 7889984 10355604 11834976 13807472 15779968 20711208 23669952 27614944 41422416 47339904 55229888 82844832 110459776 165689664 331379328
- Sum of all divisors σ(n): 1068503040
- Sum of proper divisors (its aliquot sum) s(n): 737123712
- 331379328 is an abundant number, because the sum of its proper divisors (737123712) is greater than itself. Its abundance is 405744384
Bases of 331379328
- Binary: 100111100000001110010100000002
- Hexadecimal: 0x13C07280
- Base-36: 5HALXC
Squares and roots of 331379328
- 331379328 squared (3313793282) is 109812259025731584
- 331379328 cubed (3313793283) is 36389512602108867014295552
-
The
square root of 331379328 is 18203.8272898861 -
The
cube root of 331379328 is 692.0037867191
Scales and comparisons
How big is 331379328?- 331,379,328 seconds is equal to 10 years, 27 weeks, 6 days, 9 hours, 48 minutes, 48 seconds.
-
To count from 1 to 331,379,328 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 331379328 cubic inches would be around 57.7 feet tall.
Recreational maths with 331379328
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