328983168
328,983,168 is an even composite number composed of four prime numbers multiplied together.
328983168 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 328983168:
27 × 3 × 23 × 1932
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 23 × 193 × 193)See below for interesting mathematical facts about the number 328983168 from the Numbermatics database.
Names of 328983168
- Cardinal: 328983168 can be written as Three hundred twenty-eight million, nine hundred eighty-three thousand, one hundred sixty-eight.
Scientific notation
- Scientific notation: 3.28983168 × 108
Factors of 328983168
Divisors of 328983168
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 193 276 368 384 386 552 579 736 772 1104 1158 1472 1544 2208 2316 2944 3088 4416 4439 4632 6176 8832 8878 9264 12352 13317 17756 18528 24704 26634 35512 37056 37249 53268 71024 74112 74498 106536 111747 142048 148996 213072 223494 284096 297992 426144 446988 568192 595984 852288 856727 893976 1191968 1704576 1713454 1787952 2383936 2570181 3426908 3575904 4767872 5140362 6853816 7151808 10280724 13707632 14303616 20561448 27415264 41122896 54830528 82245792 109661056 164491584 328983168
- Sum of all divisors σ(n): 916604640
- Sum of proper divisors (its aliquot sum) s(n): 587621472
- 328983168 is an abundant number, because the sum of its proper divisors (587621472) is greater than itself. Its abundance is 258638304
Bases of 328983168
- Binary: 100111001101111100010100000002
- Hexadecimal: 0x139BE280
- Base-36: 5FV91C
Squares and roots of 328983168
- 328983168 squared (3289831682) is 108229924827316224
- 328983168 cubed (3289831683) is 35605823542092344309317632
-
The
square root of 328983168 is 18137.8931521827 -
The
cube root of 328983168 is 690.3318210779
Scales and comparisons
How big is 328983168?- 328,983,168 seconds is equal to 10 years, 23 weeks, 6 days, 16 hours, 12 minutes, 48 seconds.
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To count from 1 to 328,983,168 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 328983168 cubic inches would be around 57.5 feet tall.
Recreational maths with 328983168
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