# 3344

## 3,344 is an even composite number composed of three prime numbers multiplied together.

What does the number 3344 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 20 divisors.

3344 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty divisors.

## Prime factorization of 3344:

### 24 × 11 × 19

(2 × 2 × 2 × 2 × 11 × 19)

See below for interesting mathematical facts about the number 3344 from the Numbermatics database.

### Names of 3344

• Cardinal: 3344 can be written as Three thousand, three hundred forty-four.

### Scientific notation

• Scientific notation: 3.344 × 103

### Factors of 3344

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 32

### Divisors of 3344

• Number of divisors d(n): 20
• Complete list of divisors:
• Sum of all divisors σ(n): 7440
• Sum of proper divisors (its aliquot sum) s(n): 4096
• 3344 is an abundant number, because the sum of its proper divisors (4096) is greater than itself. Its abundance is 752

### Bases of 3344

• Binary: 1101000100002
• Base-36: 2KW

### Squares and roots of 3344

• 3344 squared (33442) is 11182336
• 3344 cubed (33443) is 37393731584
• The square root of 3344 is 57.8273291793
• The cube root of 3344 is 14.9539327395

### Scales and comparisons

How big is 3344?
• 3,344 seconds is equal to 55 minutes, 44 seconds.
• To count from 1 to 3,344 would take you about fifty-five 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 3344 cubic inches would be around 1.2 feet tall.

### Recreational maths with 3344

• 3344 backwards is 4433
• The number of decimal digits it has is: 4
• The sum of 3344's digits is 14
• More coming soon!