# 64400

## 64,400 is an even composite number composed of four prime numbers multiplied together.

What does the number 64400 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 60 divisors.

64400 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of sixty divisors.

## Prime factorization of 64400:

### 24 × 52 × 7 × 23

(2 × 2 × 2 × 2 × 5 × 5 × 7 × 23)

See below for interesting mathematical facts about the number 64400 from the Numbermatics database.

### Names of 64400

• Cardinal: 64400 can be written as Sixty-four thousand, four hundred.

### Scientific notation

• Scientific notation: 6.44 × 104

### Factors of 64400

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 37

### Divisors of 64400

• Number of divisors d(n): 60
• Complete list of divisors:
• Sum of all divisors σ(n): 184512
• Sum of proper divisors (its aliquot sum) s(n): 120112
• 64400 is an abundant number, because the sum of its proper divisors (120112) is greater than itself. Its abundance is 55712

### Bases of 64400

• Binary: 11111011100100002
• Base-36: 1DOW

### Squares and roots of 64400

• 64400 squared (644002) is 4147360000
• 64400 cubed (644003) is 267089984000000
• The square root of 64400 is 253.7715508089
• The cube root of 64400 is 40.0831603225

### Scales and comparisons

How big is 64400?
• 64,400 seconds is equal to 17 hours, 53 minutes, 20 seconds.
• To count from 1 to 64,400 would take you about seventeen 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 64400 cubic inches would be around 3.3 feet tall.

### Recreational maths with 64400

• 64400 backwards is 00446
• 64400 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 64400's digits is 14
• More coming soon!