314400
314,400 is an even composite number composed of four prime numbers multiplied together.
314400 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 314400:
25 × 3 × 52 × 131
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 131)See below for interesting mathematical facts about the number 314400 from the Numbermatics database.
Names of 314400
- Cardinal: 314400 can be written as Three hundred fourteen thousand, four hundred.
Scientific notation
- Scientific notation: 3.144 × 105
Factors of 314400
Divisors of 314400
- Number of divisors d(n): 72
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 131 150 160 200 240 262 300 393 400 480 524 600 655 786 800 1048 1200 1310 1572 1965 2096 2400 2620 3144 3275 3930 4192 5240 6288 6550 7860 9825 10480 12576 13100 15720 19650 20960 26200 31440 39300 52400 62880 78600 104800 157200 314400
- Sum of all divisors σ(n): 1031184
- Sum of proper divisors (its aliquot sum) s(n): 716784
- 314400 is an abundant number, because the sum of its proper divisors (716784) is greater than itself. Its abundance is 402384
Bases of 314400
- Binary: 10011001100001000002
- Hexadecimal: 0x4CC20
- Base-36: 6QLC
Squares and roots of 314400
- 314400 squared (3144002) is 98847360000
- 314400 cubed (3144003) is 31077609984000000
-
The
square root of 314400 is 560.7138307551 -
The
cube root of 314400 is 67.9976931167
Scales and comparisons
How big is 314400?- 314,400 seconds is equal to 3 days, 15 hours, 20 minutes.
-
To count from 1 to 314,400 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 314400 cubic inches would be around 5.7 feet tall.
Recreational maths with 314400
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The information we have on file for 314400 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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