# 630

## 630 is an even composite number composed of four prime numbers multiplied together.

What does the number 630 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 24 divisors.

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

## Prime factorization of 630:

### 2 × 32 × 5 × 7

(2 × 3 × 3 × 5 × 7)

See below for interesting mathematical facts about the number 630 from the Numbermatics database.

### Names of 630

• Cardinal: 630 can be written as Six hundred thirty.

### Scientific notation

• Scientific notation: 6.3 × 102

### Factors of 630

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 17

### Divisors of 630

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 1872
• Sum of proper divisors (its aliquot sum) s(n): 1242
• 630 is an abundant number, because the sum of its proper divisors (1242) is greater than itself. Its abundance is 612

### Bases of 630

• Binary: 10011101102
• Base-36: HI

### Squares and roots of 630

• 630 squared (6302) is 396900
• 630 cubed (6303) is 250047000
• The square root of 630 is 25.0998007961
• The cube root of 630 is 8.5726188823

### Scales and comparisons

How big is 630?
• 630 seconds is equal to 10 minutes, 30 seconds.
• To count from 1 to 630 would take you about 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 630 cubic inches would be around 0.7 feet tall.

### Recreational maths with 630

• 630 backwards is 036
• 630 is a Harshad number.
• The number of decimal digits it has is: 3
• The sum of 630's digits is 9
• More coming soon!