# 32800

## 32,800 is an even composite number composed of three prime numbers multiplied together.

What does the number 32800 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 36 divisors.

32800 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty-six divisors.

## Prime factorization of 32800:

### 25 × 52 × 41

(2 × 2 × 2 × 2 × 2 × 5 × 5 × 41)

See below for interesting mathematical facts about the number 32800 from the Numbermatics database.

### Names of 32800

• Cardinal: 32800 can be written as Thirty-two thousand, eight hundred.

### Scientific notation

• Scientific notation: 3.28 × 104

### Factors of 32800

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 48

### Divisors of 32800

• Number of divisors d(n): 36
• Complete list of divisors:
• Sum of all divisors σ(n): 82026
• Sum of proper divisors (its aliquot sum) s(n): 49226
• 32800 is an abundant number, because the sum of its proper divisors (49226) is greater than itself. Its abundance is 16426

### Bases of 32800

• Binary: 10000000001000002
• Base-36: PB4

### Squares and roots of 32800

• 32800 squared (328002) is 1075840000
• 32800 cubed (328003) is 35287552000000
• The square root of 32800 is 181.1077027627
• The cube root of 32800 is 32.0104132777

### Scales and comparisons

How big is 32800?
• 32,800 seconds is equal to 9 hours, 6 minutes, 40 seconds.
• To count from 1 to 32,800 would take you about nine hours.

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 32800 cubic inches would be around 2.7 feet tall.

### Recreational maths with 32800

• 32800 backwards is 00823
• The number of decimal digits it has is: 5
• The sum of 32800's digits is 13
• More coming soon!