315200

315,200 is an even composite number composed of three prime numbers multiplied together.

What does the number 315200 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 42 divisors.

315200 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty-two divisors.

Prime factorization of 315200:

2⁶ × 5² × 197

(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 197)

See below for interesting mathematical facts about the number 315200 from the Numbermatics database.

Names of 315200

Cardinal: 315200 can be written as Three hundred fifteen thousand, two hundred.

Scientific notation

Scientific notation: 3.152 × 10⁵

Factors of 315200

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 9
Sum of prime factors: 204

Divisors of 315200

Number of divisors d(n): 42
Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 197 200 320 394 400 788 800 985 1576 1600 1970 3152 3940 4925 6304 7880 9850 12608 15760 19700 31520 39400 63040 78800 157600 315200
Sum of all divisors σ(n): 779526
Sum of proper divisors (its aliquot sum) s(n): 464326
315200 is an abundant number, because the sum of its proper divisors (464326) is greater than itself. Its abundance is 149126

Bases of 315200

Binary: 1001100111101000000₂
Hexadecimal: 0x4CF40
Base-36: 6R7K

Squares and roots of 315200

315200 squared (315200²) is 99351040000
315200 cubed (315200³) is 31315447808000000
The square root of 315200 is 561.4267539047
The cube root of 315200 is 68.0553183079

Scales and comparisons

How big is 315200?

315,200 seconds is equal to 3 days, 15 hours, 33 minutes, 20 seconds.
To count from 1 to 315,200 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 315200 cubic inches would be around 5.7 feet tall.

Recreational maths with 315200

315200 backwards is 002513
The number of decimal digits it has is: 6
The sum of 315200's digits is 11
More coming soon!

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The information we have on file for 315200 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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