97344

97,344 is an even composite number composed of three prime numbers multiplied together.

What does the number 97344 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 63 divisors.

97344 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixty-three divisors.

Prime factorization of 97344:

2⁶ × 3² × 13²

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 13)

See below for interesting mathematical facts about the number 97344 from the Numbermatics database.

Names of 97344

Cardinal: 97344 can be written as Ninety-seven thousand, three hundred forty-four.

Scientific notation

Scientific notation: 9.7344 × 10⁴

Factors of 97344

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 10
Sum of prime factors: 18

Divisors of 97344

Number of divisors d(n): 63
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 169 192 208 234 288 312 338 416 468 507 576 624 676 832 936 1014 1248 1352 1521 1872 2028 2496 2704 3042 3744 4056 5408 6084 7488 8112 10816 12168 16224 24336 32448 48672 97344
Sum of all divisors σ(n): 302133
Sum of proper divisors (its aliquot sum) s(n): 204789
97344 is an abundant number, because the sum of its proper divisors (204789) is greater than itself. Its abundance is 107445

Bases of 97344

Binary: 10111110001000000₂
Hexadecimal: 0x17C40
Base-36: 2340

Squares and roots of 97344

97344 squared (97344²) is 9475854336
97344 cubed (97344³) is 922417564483584
97344 is a perfect square number. Its square root is 312
The cube root of 97344 is 46.0012602049

Scales and comparisons

How big is 97344?

97,344 seconds is equal to 1 day, 3 hours, 2 minutes, 24 seconds.
To count from 1 to 97,344 would take you about three hours.

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 97344 cubic inches would be around 3.8 feet tall.

Recreational maths with 97344

97344 backwards is 44379
The number of decimal digits it has is: 5
The sum of 97344's digits is 27
More coming soon!

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The information we have on file for 97344 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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