# 31664

## 31,664 is an even composite number composed of two prime numbers multiplied together.

What does the number 31664 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 10 divisors.

31664 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of ten divisors.

## Prime factorization of 31664:

### 24 × 1979

(2 × 2 × 2 × 2 × 1979)

See below for interesting mathematical facts about the number 31664 from the Numbermatics database.

### Names of 31664

• Cardinal: 31664 can be written as Thirty-one thousand, six hundred sixty-four.

### Scientific notation

• Scientific notation: 3.1664 × 104

### Factors of 31664

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 1981

### Divisors of 31664

• Number of divisors d(n): 10
• Complete list of divisors:
• Sum of all divisors σ(n): 61380
• Sum of proper divisors (its aliquot sum) s(n): 29716
• 31664 is a deficient number, because the sum of its proper divisors (29716) is less than itself. Its deficiency is 1948

### Bases of 31664

• Binary: 1111011101100002
• Base-36: OFK

### Squares and roots of 31664

• 31664 squared (316642) is 1002608896
• 31664 cubed (316643) is 31746608082944
• The square root of 31664 is 177.9438113563
• The cube root of 31664 is 31.6365117679

### Scales and comparisons

How big is 31664?
• 31,664 seconds is equal to 8 hours, 47 minutes, 44 seconds.
• To count from 1 to 31,664 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 31664 cubic inches would be around 2.6 feet tall.

### Recreational maths with 31664

• 31664 backwards is 46613
• The number of decimal digits it has is: 5
• The sum of 31664's digits is 20
• More coming soon!