# 331200

## 331,200 is an even composite number composed of four prime numbers multiplied together.

What does the number 331200 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 126 divisors.

331200 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred twenty-six divisors.

## Prime factorization of 331200:

### 26 × 32 × 52 × 23

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 23)

See below for interesting mathematical facts about the number 331200 from the Numbermatics database.

### Names of 331200

• Cardinal: 331200 can be written as Three hundred thirty-one thousand, two hundred.

### Scientific notation

• Scientific notation: 3.312 × 105

### Factors of 331200

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 33

### Divisors of 331200

• Number of divisors d(n): 126
• Complete list of divisors:
• Sum of all divisors σ(n): 1228344
• Sum of proper divisors (its aliquot sum) s(n): 897144
• 331200 is an abundant number, because the sum of its proper divisors (897144) is greater than itself. Its abundance is 565944

### Bases of 331200

• Binary: 10100001101110000002
• Base-36: 73K0

### Squares and roots of 331200

• 331200 squared (3312002) is 109693440000
• 331200 cubed (3312003) is 36330467328000000
• The square root of 331200 is 575.4997827975
• The cube root of 331200 is 69.1878936799

### Scales and comparisons

How big is 331200?
• 331,200 seconds is equal to 3 days, 20 hours.
• To count from 1 to 331,200 would take you about three days.

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 331200 cubic inches would be around 5.8 feet tall.

### Recreational maths with 331200

• 331200 backwards is 002133
• 331200 is a Harshad number.
• The number of decimal digits it has is: 6
• The sum of 331200's digits is 9
• More coming soon!