# 3200

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

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: 110010000000 2
• 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.

Note: 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!

The information we have on file for 3200 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

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