# 40344

## 40,344 is an even composite number composed of three prime numbers multiplied together.

What does the number 40344 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 24 divisors.

40344 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 40344:

### 23 × 3 × 412

(2 × 2 × 2 × 3 × 41 × 41)

See below for interesting mathematical facts about the number 40344 from the Numbermatics database.

### Names of 40344

• Cardinal: 40344 can be written as Forty thousand, three hundred forty-four.

### Scientific notation

• Scientific notation: 4.0344 × 104

### Factors of 40344

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 46

### Divisors of 40344

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 103380
• Sum of proper divisors (its aliquot sum) s(n): 63036
• 40344 is an abundant number, because the sum of its proper divisors (63036) is greater than itself. Its abundance is 22692

### Bases of 40344

• Binary: 10011101100110002
• Base-36: V4O

### Squares and roots of 40344

• 40344 squared (403442) is 1627638336
• 40344 cubed (403443) is 65665441027584
• The square root of 40344 is 200.8581589083
• The cube root of 40344 is 34.2972778453

### Scales and comparisons

How big is 40344?
• 40,344 seconds is equal to 11 hours, 12 minutes, 24 seconds.
• To count from 1 to 40,344 would take you about eleven 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 40344 cubic inches would be around 2.9 feet tall.

### Recreational maths with 40344

• 40344 backwards is 44304
• The number of decimal digits it has is: 5
• The sum of 40344's digits is 15
• More coming soon!