311328
311,328 is an even composite number composed of four prime numbers multiplied together.
311328 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of seventy-two divisors.
Prime factorization of 311328:
25 × 32 × 23 × 47
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 23 × 47)See below for interesting mathematical facts about the number 311328 from the Numbermatics database.
Names of 311328
- Cardinal: 311328 can be written as Three hundred eleven thousand, three hundred twenty-eight.
Scientific notation
- Scientific notation: 3.11328 × 105
Factors of 311328
Divisors of 311328
- Number of divisors d(n): 72
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 47 48 69 72 92 94 96 138 141 144 184 188 207 276 282 288 368 376 414 423 552 564 736 752 828 846 1081 1104 1128 1504 1656 1692 2162 2208 2256 3243 3312 3384 4324 4512 6486 6624 6768 8648 9729 12972 13536 17296 19458 25944 34592 38916 51888 77832 103776 155664 311328
- Sum of all divisors σ(n): 943488
- Sum of proper divisors (its aliquot sum) s(n): 632160
- 311328 is an abundant number, because the sum of its proper divisors (632160) is greater than itself. Its abundance is 320832
Bases of 311328
- Binary: 10011000000001000002
- Hexadecimal: 0x4C020
- Base-36: 6O80
Squares and roots of 311328
- 311328 squared (3113282) is 96925123584
- 311328 cubed (3113283) is 30175504875159552
-
The
square root of 311328 is 557.9677410031 -
The
cube root of 311328 is 67.7754995403
Scales and comparisons
How big is 311328?- 311,328 seconds is equal to 3 days, 14 hours, 28 minutes, 48 seconds.
-
To count from 1 to 311,328 would take you about three days.
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 311328 cubic inches would be around 5.6 feet tall.
Recreational maths with 311328
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The information we have on file for 311328 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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