# 2304

## 2,304 is an even composite number composed of two prime numbers multiplied together.

What does the number 2304 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 27 divisors.

2304 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of twenty-seven divisors.

## Prime factorization of 2304:

### 28 × 32

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

See below for interesting mathematical facts about the number 2304 from the Numbermatics database.

### Names of 2304

• Cardinal: 2304 can be written as Two thousand, three hundred four.

### Scientific notation

• Scientific notation: 2.304 × 103

### Factors of 2304

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 5

### Divisors of 2304

• Number of divisors d(n): 27
• Complete list of divisors:
• Sum of all divisors σ(n): 6643
• Sum of proper divisors (its aliquot sum) s(n): 4339
• 2304 is an abundant number, because the sum of its proper divisors (4339) is greater than itself. Its abundance is 2035

### Bases of 2304

• Binary: 1001000000002
• Base-36: 1S0

### Squares and roots of 2304

• 2304 squared (23042) is 5308416
• 2304 cubed (23043) is 12230590464
• 2304 is a perfect square number. Its square root is 48
• The cube root of 2304 is 13.2077089955

### Scales and comparisons

How big is 2304?
• 2,304 seconds is equal to 38 minutes, 24 seconds.
• To count from 1 to 2,304 would take you about thirty-eight minutes.

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 2304 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2304

• 2304 backwards is 4032
• 2304 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 2304's digits is 9
• More coming soon!