# 1344

## 1,344 is an even composite number composed of three prime numbers multiplied together.

What does the number 1344 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 28 divisors.

1344 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-eight divisors.

## Prime factorization of 1344:

### 26 × 3 × 7

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 7)

See below for interesting mathematical facts about the number 1344 from the Numbermatics database.

### Names of 1344

• Cardinal: 1344 can be written as One thousand, three hundred forty-four.

### Scientific notation

• Scientific notation: 1.344 × 103

### Factors of 1344

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 12

### Divisors of 1344

• Number of divisors d(n): 28
• Complete list of divisors:
• Sum of all divisors σ(n): 4064
• Sum of proper divisors (its aliquot sum) s(n): 2720
• 1344 is an abundant number, because the sum of its proper divisors (2720) is greater than itself. Its abundance is 1376

### Bases of 1344

• Binary: 101010000002
• Base-36: 11C

### Squares and roots of 1344

• 1344 squared (13442) is 1806336
• 1344 cubed (13443) is 2427715584
• The square root of 1344 is 36.6606055597
• The cube root of 1344 is 11.0356967055

### Scales and comparisons

How big is 1344?
• 1,344 seconds is equal to 22 minutes, 24 seconds.
• To count from 1 to 1,344 would take you about twenty-two 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 1344 cubic inches would be around 0.9 feet tall.

### Recreational maths with 1344

• 1344 backwards is 4431
• 1344 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 1344's digits is 12
• More coming soon!