# 6440

## 6,440 is an even composite number composed of four prime numbers multiplied together.

What does the number 6440 look like?

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

6440 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 6440:

### 23 × 5 × 7 × 23

(2 × 2 × 2 × 5 × 7 × 23)

See below for interesting mathematical facts about the number 6440 from the Numbermatics database.

### Names of 6440

• Cardinal: 6440 can be written as Six thousand, four hundred forty.

### Scientific notation

• Scientific notation: 6.44 × 103

### Factors of 6440

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 37

### Divisors of 6440

• Number of divisors d(n): 32
• Complete list of divisors:
• Sum of all divisors σ(n): 17280
• Sum of proper divisors (its aliquot sum) s(n): 10840
• 6440 is an abundant number, because the sum of its proper divisors (10840) is greater than itself. Its abundance is 4400

### Bases of 6440

• Binary: 11001001010002
• Base-36: 4YW

### Squares and roots of 6440

• 6440 squared (64402) is 41473600
• 6440 cubed (64403) is 267089984000
• The square root of 6440 is 80.2496105909
• The cube root of 6440 is 18.6049549369

### Scales and comparisons

How big is 6440?
• 6,440 seconds is equal to 1 hour, 47 minutes, 20 seconds.
• To count from 1 to 6,440 would take you about forty-seven minutes.

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 6440 cubic inches would be around 1.6 feet tall.

### Recreational maths with 6440

• 6440 backwards is 0446
• 6440 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 6440's digits is 14
• More coming soon!