# 3200

## 3,200 is an even composite number composed of two prime numbers multiplied together.

What does the number 3200 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 24 divisors.

3200 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 3200:

### 27 × 52

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5)

See below for interesting mathematical facts about the number 3200 from the Numbermatics database.

### Names of 3200

• Cardinal: 3200 can be written as Three thousand, two hundred.

### Scientific notation

• Scientific notation: 3.2 × 103

### Factors of 3200

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 7

### Divisors of 3200

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 7905
• Sum of proper divisors (its aliquot sum) s(n): 4705
• 3200 is an abundant number, because the sum of its proper divisors (4705) is greater than itself. Its abundance is 1505

### Bases of 3200

• Binary: 1100100000002
• Base-36: 2GW

### Squares and roots of 3200

• 3200 squared (32002) is 10240000
• 3200 cubed (32003) is 32768000000
• The square root of 3200 is 56.5685424949
• The cube root of 3200 is 14.7361259947

### Scales and comparisons

How big is 3200?
• 3,200 seconds is equal to 53 minutes, 20 seconds.
• To count from 1 to 3,200 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 3200 cubic inches would be around 1.2 feet tall.

### Recreational maths with 3200

• 3200 backwards is 0023
• 3200 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 3200's digits is 5
• More coming soon!