# 1944

## 1,944 is an even composite number composed of two prime numbers multiplied together.

What does the number 1944 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 24 divisors.

1944 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 1944:

### 23 × 35

(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3)

See below for interesting mathematical facts about the number 1944 from the Numbermatics database.

### Names of 1944

• Cardinal: 1944 can be written as One thousand, nine hundred forty-four.

### Scientific notation

• Scientific notation: 1.944 × 103

### Factors of 1944

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 5

### Divisors of 1944

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 5460
• Sum of proper divisors (its aliquot sum) s(n): 3516
• 1944 is an abundant number, because the sum of its proper divisors (3516) is greater than itself. Its abundance is 1572

### Bases of 1944

• Binary: 111100110002
• Base-36: 1I0

### Squares and roots of 1944

• 1944 squared (19442) is 3779136
• 1944 cubed (19443) is 7346640384
• The square root of 1944 is 44.0908153701
• The cube root of 1944 is 12.4805029383

### Scales and comparisons

How big is 1944?
• 1,944 seconds is equal to 32 minutes, 24 seconds.
• To count from 1 to 1,944 would take you about thirty-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 1944 cubic inches would be around 1 feet tall.

### Recreational maths with 1944

• 1944 backwards is 4491
• 1944 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 1944's digits is 18
• More coming soon!