# 4464

## 4,464 is an even composite number composed of three prime numbers multiplied together.

What does the number 4464 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 30 divisors.

4464 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty divisors.

## Prime factorization of 4464:

### 24 × 32 × 31

(2 × 2 × 2 × 2 × 3 × 3 × 31)

See below for interesting mathematical facts about the number 4464 from the Numbermatics database.

### Names of 4464

• Cardinal: 4464 can be written as Four thousand, four hundred sixty-four.

### Scientific notation

• Scientific notation: 4.464 × 103

### Factors of 4464

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 36

### Divisors of 4464

• Number of divisors d(n): 30
• Complete list of divisors:
• Sum of all divisors σ(n): 12896
• Sum of proper divisors (its aliquot sum) s(n): 8432
• 4464 is an abundant number, because the sum of its proper divisors (8432) is greater than itself. Its abundance is 3968

### Bases of 4464

• Binary: 10001011100002
• Base-36: 3G0

### Squares and roots of 4464

• 4464 squared (44642) is 19927296
• 4464 cubed (44643) is 88955449344
• The square root of 4464 is 66.8131723539
• The cube root of 4464 is 16.4654926215

### Scales and comparisons

How big is 4464?
• 4,464 seconds is equal to 1 hour, 14 minutes, 24 seconds.
• To count from 1 to 4,464 would take you about fourteen 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 4464 cubic inches would be around 1.4 feet tall.

### Recreational maths with 4464

• 4464 backwards is 4644
• 4464 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 4464's digits is 18
• More coming soon!