328959972
328,959,972 is an even composite number composed of six prime numbers multiplied together.
328959972 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 328959972:
22 × 32 × 11 × 31 × 127 × 211
(2 × 2 × 3 × 3 × 11 × 31 × 127 × 211)See below for interesting mathematical facts about the number 328959972 from the Numbermatics database.
Names of 328959972
- Cardinal: 328959972 can be written as Three hundred twenty-eight million, nine hundred fifty-nine thousand, nine hundred seventy-two.
Scientific notation
- Scientific notation: 3.28959972 × 108
Factors of 328959972
Divisors of 328959972
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 93 99 124 127 132 186 198 211 254 279 341 372 381 396 422 508 558 633 682 762 844 1023 1116 1143 1266 1364 1397 1524 1899 2046 2286 2321 2532 2794 3069 3798 3937 4092 4191 4572 4642 5588 6138 6541 6963 7596 7874 8382 9284 11811 12276 12573 13082 13926 15748 16764 19623 20889 23622 25146 26164 26797 27852 35433 39246 41778 43307 47244 50292 53594 58869 70866 71951 78492 80391 83556 86614 107188 117738 129921 141732 143902 160782 173228 215853 235476 241173 259842 287804 294767 321564 389763 431706 482346 519684 589534 647559 779526 830707 863412 884301 964692 1179068 1295118 1559052 1661414 1768602 2492121 2590236 2652903 3322828 3537204 4984242 5305806 7476363 9137777 9968484 10611612 14952726 18275554 27413331 29905452 36551108 54826662 82239993 109653324 164479986 328959972
- Sum of all divisors σ(n): 948240384
- Sum of proper divisors (its aliquot sum) s(n): 619280412
- 328959972 is an abundant number, because the sum of its proper divisors (619280412) is greater than itself. Its abundance is 290320440
Bases of 328959972
- Binary: 100111001101110000111111001002
- Hexadecimal: 0x139B87E4
- Base-36: 5FUR50
Squares and roots of 328959972
- 328959972 squared (3289599722) is 108214663178240784
- 328959972 cubed (3289599723) is 35598292569103519313898048
-
The
square root of 328959972 is 18137.2537061155 -
The
cube root of 328959972 is 690.3155960195
Scales and comparisons
How big is 328959972?- 328,959,972 seconds is equal to 10 years, 23 weeks, 6 days, 9 hours, 46 minutes, 12 seconds.
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To count from 1 to 328,959,972 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 328959972 cubic inches would be around 57.5 feet tall.
Recreational maths with 328959972
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