# 13464

## 13,464 is an even composite number composed of four prime numbers multiplied together.

What does the number 13464 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 48 divisors.

13464 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of forty-eight divisors.

## Prime factorization of 13464:

### 23 × 32 × 11 × 17

(2 × 2 × 2 × 3 × 3 × 11 × 17)

See below for interesting mathematical facts about the number 13464 from the Numbermatics database.

### Names of 13464

• Cardinal: 13464 can be written as Thirteen thousand, four hundred sixty-four.

### Scientific notation

• Scientific notation: 1.3464 × 104

### Factors of 13464

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 33

### Divisors of 13464

• Number of divisors d(n): 48
• Complete list of divisors:
• Sum of all divisors σ(n): 42120
• Sum of proper divisors (its aliquot sum) s(n): 28656
• 13464 is an abundant number, because the sum of its proper divisors (28656) is greater than itself. Its abundance is 15192

### Bases of 13464

• Binary: 110100100110002
• Base-36: AE0

### Squares and roots of 13464

• 13464 squared (134642) is 181279296
• 13464 cubed (134643) is 2440744441344
• The square root of 13464 is 116.0344776349
• The cube root of 13464 is 23.7898315905

### Scales and comparisons

How big is 13464?
• 13,464 seconds is equal to 3 hours, 44 minutes, 24 seconds.
• To count from 1 to 13,464 would take you about three 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 13464 cubic inches would be around 2 feet tall.

### Recreational maths with 13464

• 13464 backwards is 46431
• 13464 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 13464's digits is 18
• More coming soon!