# 39204

## 39,204 is an even composite number composed of three prime numbers multiplied together.

What does the number 39204 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 45 divisors.

39204 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty-five divisors.

## Prime factorization of 39204:

### 22 × 34 × 112

(2 × 2 × 3 × 3 × 3 × 3 × 11 × 11)

See below for interesting mathematical facts about the number 39204 from the Numbermatics database.

### Names of 39204

• Cardinal: 39204 can be written as Thirty-nine thousand, two hundred four.

### Scientific notation

• Scientific notation: 3.9204 × 104

### Factors of 39204

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 16

### Divisors of 39204

• Number of divisors d(n): 45
• Complete list of divisors:
• Sum of all divisors σ(n): 112651
• Sum of proper divisors (its aliquot sum) s(n): 73447
• 39204 is an abundant number, because the sum of its proper divisors (73447) is greater than itself. Its abundance is 34243

### Bases of 39204

• Binary: 10011001001001002
• Base-36: U90

### Squares and roots of 39204

• 39204 squared (392042) is 1536953616
• 39204 cubed (392043) is 60254729561664
• 39204 is a perfect square number. Its square root is 198
• The cube root of 39204 is 33.9711404473

### Scales and comparisons

How big is 39204?
• 39,204 seconds is equal to 10 hours, 53 minutes, 24 seconds.
• To count from 1 to 39,204 would take you about ten 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 39204 cubic inches would be around 2.8 feet tall.

### Recreational maths with 39204

• 39204 backwards is 40293
• 39204 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 39204's digits is 18
• More coming soon!