# 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!

MLA style:
"Number 3312 - Facts about the integer". Numbermatics.com. 2021. Web. 19 October 2021.

APA style:
Numbermatics. (2021). Number 3312 - Facts about the integer. Retrieved 19 October 2021, from https://numbermatics.com/n/3312/

Chicago style:
Numbermatics. 2021. "Number 3312 - Facts about the integer". https://numbermatics.com/n/3312/

The information we have on file for 3312 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

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