# 330

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

What does the number 330 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 16 divisors.

330 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of sixteen divisors.

## Prime factorization of 330:

### 2 × 3 × 5 × 11

See below for interesting mathematical facts about the number 330 from the Numbermatics database.

### Names of 330

• Cardinal: 330 can be written as Three hundred thirty.

### Scientific notation

• Scientific notation: 3.3 × 102

### Factors of 330

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 21

### Divisors of 330

• Number of divisors d(n): 16
• Complete list of divisors:
• Sum of all divisors σ(n): 864
• Sum of proper divisors (its aliquot sum) s(n): 534
• 330 is an abundant number, because the sum of its proper divisors (534) is greater than itself. Its abundance is 204

### Bases of 330

• Binary: 1010010102
• Base-36: 96

### Squares and roots of 330

• 330 squared (3302) is 108900
• 330 cubed (3303) is 35937000
• The square root of 330 is 18.1659021245
• The cube root of 330 is 6.9104232301

### Scales and comparisons

How big is 330?
• 330 seconds is equal to 5 minutes, 30 seconds.
• To count from 1 to 330 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 330 cubic inches would be around 0.6 feet tall.

### Recreational maths with 330

• 330 backwards is 033
• 330 is a Harshad number.
• The number of decimal digits it has is: 3
• The sum of 330's digits is 6
• More coming soon!