# 14304

## 14,304 is an even composite number composed of three prime numbers multiplied together.

What does the number 14304 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 24 divisors.

14304 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 14304:

### 25 × 3 × 149

(2 × 2 × 2 × 2 × 2 × 3 × 149)

See below for interesting mathematical facts about the number 14304 from the Numbermatics database.

### Names of 14304

• Cardinal: 14304 can be written as Fourteen thousand, three hundred four.

### Scientific notation

• Scientific notation: 1.4304 × 104

### Factors of 14304

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 154

### Divisors of 14304

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 37800
• Sum of proper divisors (its aliquot sum) s(n): 23496
• 14304 is an abundant number, because the sum of its proper divisors (23496) is greater than itself. Its abundance is 9192

### Bases of 14304

• Binary: 110111111000002
• Base-36: B1C

### Squares and roots of 14304

• 14304 squared (143042) is 204604416
• 14304 cubed (143043) is 2926661566464
• The square root of 14304 is 119.5993311019
• The cube root of 14304 is 24.2746233753

### Scales and comparisons

How big is 14304?
• 14,304 seconds is equal to 3 hours, 58 minutes, 24 seconds.
• To count from 1 to 14,304 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 14304 cubic inches would be around 2 feet tall.

### Recreational maths with 14304

• 14304 backwards is 40341
• 14304 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 14304's digits is 12
• More coming soon!