# 3204

## 3,204 is an even composite number composed of three prime numbers multiplied together.

What does the number 3204 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 18 divisors.

3204 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eighteen divisors.

## Prime factorization of 3204:

### 22 × 32 × 89

(2 × 2 × 3 × 3 × 89)

See below for interesting mathematical facts about the number 3204 from the Numbermatics database.

### Names of 3204

• Cardinal: 3204 can be written as Three thousand, two hundred four.

### Scientific notation

• Scientific notation: 3.204 × 103

### Factors of 3204

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 94

### Divisors of 3204

• Number of divisors d(n): 18
• Complete list of divisors:
• Sum of all divisors σ(n): 8190
• Sum of proper divisors (its aliquot sum) s(n): 4986
• 3204 is an abundant number, because the sum of its proper divisors (4986) is greater than itself. Its abundance is 1782

### Bases of 3204

• Binary: 1100100001002
• Base-36: 2H0

### Squares and roots of 3204

• 3204 squared (32042) is 10265616
• 3204 cubed (32043) is 32891033664
• The square root of 3204 is 56.6038867923
• The cube root of 3204 is 14.7422634905

### Scales and comparisons

How big is 3204?
• 3,204 seconds is equal to 53 minutes, 24 seconds.
• To count from 1 to 3,204 would take you about fifty-three 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 3204 cubic inches would be around 1.2 feet tall.

### Recreational maths with 3204

• 3204 backwards is 4023
• 3204 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 3204's digits is 9
• More coming soon!