# 264

## 264 is an even composite number composed of three prime numbers multiplied together.

What does the number 264 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 16 divisors.

264 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixteen divisors.

## Prime factorization of 264:

### 23 × 3 × 11

(2 × 2 × 2 × 3 × 11)

See below for interesting mathematical facts about the number 264 from the Numbermatics database.

### Names of 264

• Cardinal: 264 can be written as Two hundred sixty-four.

### Scientific notation

• Scientific notation: 2.64 × 102

### Factors of 264

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 16

### Divisors of 264

• Number of divisors d(n): 16
• Complete list of divisors:
• Sum of all divisors σ(n): 720
• Sum of proper divisors (its aliquot sum) s(n): 456
• 264 is an abundant number, because the sum of its proper divisors (456) is greater than itself. Its abundance is 192

### Bases of 264

• Binary: 1000010002
• Base-36: 7C

### Squares and roots of 264

• 264 squared (2642) is 69696
• 264 cubed (2643) is 18399744
• The square root of 264 is 16.2480768093
• The cube root of 264 is 6.4150686601

### Scales and comparisons

How big is 264?
• 264 seconds is equal to 4 minutes, 24 seconds.
• To count from 1 to 264 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 264 cubic inches would be around 0.5 feet tall.

### Recreational maths with 264

• 264 backwards is 462
• 264 is a Harshad number.
• The number of decimal digits it has is: 3
• The sum of 264's digits is 12
• More coming soon!