# 3312

## 3,312 is an even composite number composed of three prime numbers multiplied together.

What does the number 3312 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 30 divisors.

3312 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty divisors.

## Prime factorization of 3312:

### 24 × 32 × 23

(2 × 2 × 2 × 2 × 3 × 3 × 23)

See below for interesting mathematical facts about the number 3312 from the Numbermatics database.

### Names of 3312

• Cardinal: 3312 can be written as Three thousand, three hundred twelve.

### Scientific notation

• Scientific notation: 3.312 × 103

### Factors of 3312

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 28

### Divisors of 3312

• Number of divisors d(n): 30
• Complete list of divisors:
• Sum of all divisors σ(n): 9672
• Sum of proper divisors (its aliquot sum) s(n): 6360
• 3312 is an abundant number, because the sum of its proper divisors (6360) is greater than itself. Its abundance is 3048

### Bases of 3312

• Binary: 1100111100002
• Base-36: 2K0

### Squares and roots of 3312

• 3312 squared (33122) is 10969344
• 3312 cubed (33123) is 36330467328
• The square root of 3312 is 57.5499782797
• The cube root of 3312 is 14.9060798275

### Scales and comparisons

How big is 3312?
• 3,312 seconds is equal to 55 minutes, 12 seconds.
• To count from 1 to 3,312 would take you about fifty-five 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 3312 cubic inches would be around 1.2 feet tall.

### Recreational maths with 3312

• 3312 backwards is 2133
• 3312 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 3312's digits is 9
• More coming soon!