# 3304

## 3,304 is an even composite number composed of three prime numbers multiplied together.

What does the number 3304 look like?

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

3304 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 3304:

### 23 × 7 × 59

(2 × 2 × 2 × 7 × 59)

See below for interesting mathematical facts about the number 3304 from the Numbermatics database.

### Names of 3304

• Cardinal: 3304 can be written as Three thousand, three hundred four.

### Scientific notation

• Scientific notation: 3.304 × 103

### Factors of 3304

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 68

### Divisors of 3304

• Number of divisors d(n): 16
• Complete list of divisors:
• Sum of all divisors σ(n): 7200
• Sum of proper divisors (its aliquot sum) s(n): 3896
• 3304 is an abundant number, because the sum of its proper divisors (3896) is greater than itself. Its abundance is 592

### Bases of 3304

• Binary: 1100111010002
• Base-36: 2JS

### Squares and roots of 3304

• 3304 squared (33042) is 10916416
• 3304 cubed (33043) is 36067838464
• The square root of 3304 is 57.4804314528
• The cube root of 3304 is 14.8940684767

### Scales and comparisons

How big is 3304?
• 3,304 seconds is equal to 55 minutes, 4 seconds.
• To count from 1 to 3,304 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 3304 cubic inches would be around 1.2 feet tall.

### Recreational maths with 3304

• 3304 backwards is 4033
• The number of decimal digits it has is: 4
• The sum of 3304's digits is 10
• More coming soon!