# 23184

## 23,184 is an even composite number composed of four prime numbers multiplied together.

What does the number 23184 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 60 divisors.

23184 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of sixty divisors.

## Prime factorization of 23184:

### 24 × 32 × 7 × 23

(2 × 2 × 2 × 2 × 3 × 3 × 7 × 23)

See below for interesting mathematical facts about the number 23184 from the Numbermatics database.

### Names of 23184

• Cardinal: 23184 can be written as Twenty-three thousand, one hundred eighty-four.

### Scientific notation

• Scientific notation: 2.3184 × 104

### Factors of 23184

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 35

### Divisors of 23184

• Number of divisors d(n): 60
• Complete list of divisors:
• Sum of all divisors σ(n): 77376
• Sum of proper divisors (its aliquot sum) s(n): 54192
• 23184 is an abundant number, because the sum of its proper divisors (54192) is greater than itself. Its abundance is 31008

### Bases of 23184

• Binary: 1011010100100002
• Base-36: HW0

### Squares and roots of 23184

• 23184 squared (231842) is 537497856
• 23184 cubed (231843) is 12461350293504
• The square root of 23184 is 152.2629304853
• The cube root of 23184 is 28.5143049149

### Scales and comparisons

How big is 23184?
• 23,184 seconds is equal to 6 hours, 26 minutes, 24 seconds.
• To count from 1 to 23,184 would take you about six 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 23184 cubic inches would be around 2.4 feet tall.

### Recreational maths with 23184

• 23184 backwards is 48132
• 23184 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 23184's digits is 18
• More coming soon!