# 3024

## 3,024 is an even composite number composed of three prime numbers multiplied together.

What does the number 3024 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 40 divisors.

3024 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty divisors.

## Prime factorization of 3024:

### 24 × 33 × 7

(2 × 2 × 2 × 2 × 3 × 3 × 3 × 7)

See below for interesting mathematical facts about the number 3024 from the Numbermatics database.

### Names of 3024

• Cardinal: 3024 can be written as Three thousand and twenty-four.

### Scientific notation

• Scientific notation: 3.024 × 103

### Factors of 3024

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 12

### Divisors of 3024

• Number of divisors d(n): 40
• Complete list of divisors:
• Sum of all divisors σ(n): 9920
• Sum of proper divisors (its aliquot sum) s(n): 6896
• 3024 is an abundant number, because the sum of its proper divisors (6896) is greater than itself. Its abundance is 3872

### Bases of 3024

• Binary: 1011110100002
• Base-36: 2C0

### Squares and roots of 3024

• 3024 squared (30242) is 9144576
• 3024 cubed (30243) is 27653197824
• The square root of 3024 is 54.9909083395
• The cube root of 3024 is 14.4608535851

### Scales and comparisons

How big is 3024?
• 3,024 seconds is equal to 50 minutes, 24 seconds.
• To count from 1 to 3,024 would take you about fifty 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 3024 cubic inches would be around 1.2 feet tall.

### Recreational maths with 3024

• 3024 backwards is 4203
• 3024 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 3024's digits is 9
• More coming soon!