# 12384

## 12,384 is an even composite number composed of three prime numbers multiplied together.

What does the number 12384 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 36 divisors.

12384 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty-six divisors.

## Prime factorization of 12384:

### 25 × 32 × 43

(2 × 2 × 2 × 2 × 2 × 3 × 3 × 43)

See below for interesting mathematical facts about the number 12384 from the Numbermatics database.

### Names of 12384

• Cardinal: 12384 can be written as Twelve thousand, three hundred eighty-four.

### Scientific notation

• Scientific notation: 1.2384 × 104

### Factors of 12384

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 48

### Divisors of 12384

• Number of divisors d(n): 36
• Complete list of divisors:
• Sum of all divisors σ(n): 36036
• Sum of proper divisors (its aliquot sum) s(n): 23652
• 12384 is an abundant number, because the sum of its proper divisors (23652) is greater than itself. Its abundance is 11268

### Bases of 12384

• Binary: 110000011000002
• Base-36: 9K0

### Squares and roots of 12384

• 12384 squared (123842) is 153363456
• 12384 cubed (123843) is 1899253039104
• The square root of 12384 is 111.2834219459
• The cube root of 12384 is 23.1359310387

### Scales and comparisons

How big is 12384?
• 12,384 seconds is equal to 3 hours, 26 minutes, 24 seconds.
• To count from 1 to 12,384 would take you about three hours.

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 12384 cubic inches would be around 1.9 feet tall.

### Recreational maths with 12384

• 12384 backwards is 48321
• 12384 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 12384's digits is 18
• More coming soon!