# 1232

## 1,232 is an even composite number composed of three prime numbers multiplied together.

What does the number 1232 look like?

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

1232 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 1232:

### 24 × 7 × 11

(2 × 2 × 2 × 2 × 7 × 11)

See below for interesting mathematical facts about the number 1232 from the Numbermatics database.

### Names of 1232

• Cardinal: 1232 can be written as One thousand, two hundred thirty-two.

### Scientific notation

• Scientific notation: 1.232 × 103

### Factors of 1232

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 20

### Divisors of 1232

• Number of divisors d(n): 20
• Complete list of divisors:
• Sum of all divisors σ(n): 2976
• Sum of proper divisors (its aliquot sum) s(n): 1744
• 1232 is an abundant number, because the sum of its proper divisors (1744) is greater than itself. Its abundance is 512

### Bases of 1232

• Binary: 100110100002
• Base-36: Y8

### Squares and roots of 1232

• 1232 squared (12322) is 1517824
• 1232 cubed (12323) is 1869959168
• The square root of 1232 is 35.0998575495
• The cube root of 1232 is 10.7202168219

### Scales and comparisons

How big is 1232?
• 1,232 seconds is equal to 20 minutes, 32 seconds.
• To count from 1 to 1,232 would take you about twenty 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 1232 cubic inches would be around 0.9 feet tall.

### Recreational maths with 1232

• 1232 backwards is 2321
• 1232 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 1232's digits is 8
• More coming soon!