# 38400

## 38,400 is an even composite number composed of three prime numbers multiplied together.

What does the number 38400 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 60 divisors.

38400 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixty divisors.

## Prime factorization of 38400:

### 29 × 3 × 52

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5)

See below for interesting mathematical facts about the number 38400 from the Numbermatics database.

### Names of 38400

• Cardinal: 38400 can be written as Thirty-eight thousand, four hundred.

### Scientific notation

• Scientific notation: 3.84 × 104

### Factors of 38400

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 10

### Divisors of 38400

• Number of divisors d(n): 60
• Complete list of divisors:
• Sum of all divisors σ(n): 126852
• Sum of proper divisors (its aliquot sum) s(n): 88452
• 38400 is an abundant number, because the sum of its proper divisors (88452) is greater than itself. Its abundance is 50052

### Bases of 38400

• Binary: 10010110000000002
• Base-36: TMO

### Squares and roots of 38400

• 38400 squared (384002) is 1474560000
• 38400 cubed (384003) is 56623104000000
• The square root of 38400 is 195.9591794227
• The cube root of 38400 is 33.7373066119

### Scales and comparisons

How big is 38400?
• 38,400 seconds is equal to 10 hours, 40 minutes.
• To count from 1 to 38,400 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 38400 cubic inches would be around 2.8 feet tall.

### Recreational maths with 38400

• 38400 backwards is 00483
• 38400 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 38400's digits is 15
• More coming soon!