# 1644

## 1,644 is an even composite number composed of three prime numbers multiplied together.

What does the number 1644 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 12 divisors.

1644 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twelve divisors.

## Prime factorization of 1644:

### 22 × 3 × 137

(2 × 2 × 3 × 137)

See below for interesting mathematical facts about the number 1644 from the Numbermatics database.

### Names of 1644

• Cardinal: 1644 can be written as One thousand, six hundred forty-four.

### Scientific notation

• Scientific notation: 1.644 × 103

### Factors of 1644

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 142

### Divisors of 1644

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 3864
• Sum of proper divisors (its aliquot sum) s(n): 2220
• 1644 is an abundant number, because the sum of its proper divisors (2220) is greater than itself. Its abundance is 576

### Bases of 1644

• Binary: 110011011002
• Base-36: 19O

### Squares and roots of 1644

• 1644 squared (16442) is 2702736
• 1644 cubed (16443) is 4443297984
• The square root of 1644 is 40.5462698655
• The cube root of 1644 is 11.8023168869

### Scales and comparisons

How big is 1644?
• 1,644 seconds is equal to 27 minutes, 24 seconds.
• To count from 1 to 1,644 would take you about twenty-seven 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 1644 cubic inches would be around 1 feet tall.

### Recreational maths with 1644

• 1644 backwards is 4461
• The number of decimal digits it has is: 4
• The sum of 1644's digits is 15
• More coming soon!