# 17424

## 17,424 is an even composite number composed of three prime numbers multiplied together.

What does the number 17424 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 45 divisors.

17424 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty-five divisors.

## Prime factorization of 17424:

### 24 × 32 × 112

(2 × 2 × 2 × 2 × 3 × 3 × 11 × 11)

See below for interesting mathematical facts about the number 17424 from the Numbermatics database.

### Names of 17424

• Cardinal: 17424 can be written as Seventeen thousand, four hundred twenty-four.

### Scientific notation

• Scientific notation: 1.7424 × 104

### Factors of 17424

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 16

### Divisors of 17424

• Number of divisors d(n): 45
• Complete list of divisors:
• Sum of all divisors σ(n): 53599
• Sum of proper divisors (its aliquot sum) s(n): 36175
• 17424 is an abundant number, because the sum of its proper divisors (36175) is greater than itself. Its abundance is 18751

### Bases of 17424

• Binary: 1000100000100002
• Base-36: DG0

### Squares and roots of 17424

• 17424 squared (174242) is 303595776
• 17424 cubed (174243) is 5289852801024
• 17424 is a perfect square number. Its square root is 132
• The cube root of 17424 is 25.9248322037

### Scales and comparisons

How big is 17424?
• 17,424 seconds is equal to 4 hours, 50 minutes, 24 seconds.
• To count from 1 to 17,424 would take you about four 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 17424 cubic inches would be around 2.2 feet tall.

### Recreational maths with 17424

• 17424 backwards is 42471
• 17424 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 17424's digits is 18
• More coming soon!