# 32984

## 32,984 is an even composite number composed of four prime numbers multiplied together.

What does the number 32984 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 32 divisors.

32984 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of thirty-two divisors.

## Prime factorization of 32984:

### 23 × 7 × 19 × 31

(2 × 2 × 2 × 7 × 19 × 31)

See below for interesting mathematical facts about the number 32984 from the Numbermatics database.

### Names of 32984

• Cardinal: 32984 can be written as Thirty-two thousand, nine hundred eighty-four.

### Scientific notation

• Scientific notation: 3.2984 × 104

### Factors of 32984

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 59

### Divisors of 32984

• Number of divisors d(n): 32
• Complete list of divisors:
• Sum of all divisors σ(n): 76800
• Sum of proper divisors (its aliquot sum) s(n): 43816
• 32984 is an abundant number, because the sum of its proper divisors (43816) is greater than itself. Its abundance is 10832

### Bases of 32984

• Binary: 10000000110110002
• Base-36: PG8

### Squares and roots of 32984

• 32984 squared (329842) is 1087944256
• 32984 cubed (329843) is 35884753339904
• The square root of 32984 is 181.6149773559
• The cube root of 32984 is 32.0701585681

### Scales and comparisons

How big is 32984?
• 32,984 seconds is equal to 9 hours, 9 minutes, 44 seconds.
• To count from 1 to 32,984 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 32984 cubic inches would be around 2.7 feet tall.

### Recreational maths with 32984

• 32984 backwards is 48923
• The number of decimal digits it has is: 5
• The sum of 32984's digits is 26
• More coming soon!