313920
313,920 is an even composite number composed of four prime numbers multiplied together.
What does the number 313920 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 84 divisors.
313920 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of eighty-four divisors.
Prime factorization of 313920:
26 × 32 × 5 × 109
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 109)See below for interesting mathematical facts about the number 313920 from the Numbermatics database.
Names of 313920
- Cardinal: 313920 can be written as Three hundred thirteen thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 3.1392 × 105
Factors of 313920
Divisors of 313920
- Number of divisors d(n): 84
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 109 120 144 160 180 192 218 240 288 320 327 360 436 480 545 576 654 720 872 960 981 1090 1308 1440 1635 1744 1962 2180 2616 2880 3270 3488 3924 4360 4905 5232 6540 6976 7848 8720 9810 10464 13080 15696 17440 19620 20928 26160 31392 34880 39240 52320 62784 78480 104640 156960 313920
- Sum of all divisors σ(n): 1089660
- Sum of proper divisors (its aliquot sum) s(n): 775740
- 313920 is an abundant number, because the sum of its proper divisors (775740) is greater than itself. Its abundance is 461820
Bases of 313920
- Binary: 10011001010010000002
- Hexadecimal: 0x4CA40
- Base-36: 6Q80
Squares and roots of 313920
- 313920 squared (3139202) is 98545766400
- 313920 cubed (3139203) is 30935486988288000
-
The
square root of 313920 is 560.2856414365 -
The
cube root of 313920 is 67.9630710673
Scales and comparisons
How big is 313920?- 313,920 seconds is equal to 3 days, 15 hours, 12 minutes.
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To count from 1 to 313,920 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 313920 cubic inches would be around 5.7 feet tall.
Recreational maths with 313920
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The information we have on file for 313920 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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