# 312

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

What does the number 312 look like?

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

312 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 312:

### 23 × 3 × 13

(2 × 2 × 2 × 3 × 13)

See below for interesting mathematical facts about the number 312 from the Numbermatics database.

### Names of 312

• Cardinal: 312 can be written as Three hundred twelve.

### Scientific notation

• Scientific notation: 3.12 × 102

### Factors of 312

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 18

### Divisors of 312

• Number of divisors d(n): 16
• Complete list of divisors:
• Sum of all divisors σ(n): 840
• Sum of proper divisors (its aliquot sum) s(n): 528
• 312 is an abundant number, because the sum of its proper divisors (528) is greater than itself. Its abundance is 216

### Bases of 312

• Binary: 1001110002
• Base-36: 8O

### Squares and roots of 312

• 312 squared (3122) is 97344
• 312 cubed (3123) is 30371328
• The square root of 312 is 17.6635217327
• The cube root of 312 is 6.7824228861

### Scales and comparisons

How big is 312?
• 312 seconds is equal to 5 minutes, 12 seconds.
• To count from 1 to 312 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 312 cubic inches would be around 0.6 feet tall.

### Recreational maths with 312

• 312 backwards is 213
• 312 is a Harshad number.
• The number of decimal digits it has is: 3
• The sum of 312's digits is 6
• More coming soon!