# 10304

## 10,304 is an even composite number composed of three prime numbers multiplied together.

What does the number 10304 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 28 divisors.

10304 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-eight divisors.

## Prime factorization of 10304:

### 26 × 7 × 23

(2 × 2 × 2 × 2 × 2 × 2 × 7 × 23)

See below for interesting mathematical facts about the number 10304 from the Numbermatics database.

### Names of 10304

• Cardinal: 10304 can be written as Ten thousand, three hundred four.

### Scientific notation

• Scientific notation: 1.0304 × 104

### Factors of 10304

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 32

### Divisors of 10304

• Number of divisors d(n): 28
• Complete list of divisors:
• Sum of all divisors σ(n): 24384
• Sum of proper divisors (its aliquot sum) s(n): 14080
• 10304 is an abundant number, because the sum of its proper divisors (14080) is greater than itself. Its abundance is 3776

### Bases of 10304

• Binary: 101000010000002
• Base-36: 7Y8

### Squares and roots of 10304

• 10304 squared (103042) is 106172416
• 10304 cubed (103043) is 1094000574464
• The square root of 10304 is 101.5086203235
• The cube root of 10304 is 21.7604873017

### Scales and comparisons

How big is 10304?
• 10,304 seconds is equal to 2 hours, 51 minutes, 44 seconds.
• To count from 1 to 10,304 would take you about two 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 10304 cubic inches would be around 1.8 feet tall.

### Recreational maths with 10304

• 10304 backwards is 40301
• 10304 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 10304's digits is 8
• More coming soon!