31668

31,668 is an even composite number composed of five prime numbers multiplied together.

What does the number 31668 look like?

This visualization shows the relationship between its 5 prime factors (large circles) and 48 divisors.

31668 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of forty-eight divisors.

Prime factorization of 31668:

2² × 3 × 7 × 13 × 29

(2 × 2 × 3 × 7 × 13 × 29)

See below for interesting mathematical facts about the number 31668 from the Numbermatics database.

Names of 31668

Cardinal: 31668 can be written as Thirty-one thousand, six hundred sixty-eight.

Scientific notation

Scientific notation: 3.1668 × 10⁴

Factors of 31668

Number of distinct prime factors ω(n): 5
Total number of prime factors Ω(n): 6
Sum of prime factors: 54

Divisors of 31668

Number of divisors d(n): 48
Complete list of divisors:
1 2 3 4 6 7 12 13 14 21 26 28 29 39 42 52 58 78 84 87 91 116 156 174 182 203 273 348 364 377 406 546 609 754 812 1092 1131 1218 1508 2262 2436 2639 4524 5278 7917 10556 15834 31668
Sum of all divisors σ(n): 94080
Sum of proper divisors (its aliquot sum) s(n): 62412
31668 is an abundant number, because the sum of its proper divisors (62412) is greater than itself. Its abundance is 30744

Bases of 31668

Binary: 111101110110100₂
Hexadecimal: 0x7BB4
Base-36: OFO

Squares and roots of 31668

31668 squared (31668²) is 1002862224
31668 cubed (31668³) is 31758640909632
The square root of 31668 is 177.9550505043
The cube root of 31668 is 31.6378438875

Scales and comparisons

How big is 31668?

31,668 seconds is equal to 8 hours, 47 minutes, 48 seconds.
To count from 1 to 31,668 would take you about eight 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 31668 cubic inches would be around 2.6 feet tall.

Recreational maths with 31668

31668 backwards is 86613
The number of decimal digits it has is: 5
The sum of 31668's digits is 24
More coming soon!

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The information we have on file for 31668 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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