# 324

## 324 is an even composite number composed of two prime numbers multiplied together.

What does the number 324 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 15 divisors.

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

## Prime factorization of 324:

### 22 × 34

(2 × 2 × 3 × 3 × 3 × 3)

See below for interesting mathematical facts about the number 324 from the Numbermatics database.

### Names of 324

• Cardinal: 324 can be written as Three hundred twenty-four.

### Scientific notation

• Scientific notation: 3.24 × 102

### Factors of 324

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 5

### Divisors of 324

• Number of divisors d(n): 15
• Complete list of divisors:
• Sum of all divisors σ(n): 847
• Sum of proper divisors (its aliquot sum) s(n): 523
• 324 is an abundant number, because the sum of its proper divisors (523) is greater than itself. Its abundance is 199

### Bases of 324

• Binary: 1010001002
• Base-36: 90

### Squares and roots of 324

• 324 squared (3242) is 104976
• 324 cubed (3243) is 34012224
• 324 is a perfect square number. Its square root is 18
• The cube root of 324 is 6.8682854553

### Scales and comparisons

How big is 324?
• 324 seconds is equal to 5 minutes, 24 seconds.
• To count from 1 to 324 would take you about two 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 324 cubic inches would be around 0.6 feet tall.

### Recreational maths with 324

• 324 backwards is 423
• 324 is a Harshad number.
• The number of decimal digits it has is: 3
• The sum of 324's digits is 9
• More coming soon!