# 9408

## 9,408 is an even composite number composed of three prime numbers multiplied together.

What does the number 9408 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 42 divisors.

9408 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty-two divisors.

## Prime factorization of 9408:

### 26 × 3 × 72

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7)

See below for interesting mathematical facts about the number 9408 from the Numbermatics database.

### Names of 9408

• Cardinal: 9408 can be written as Nine thousand, four hundred eight.

### Scientific notation

• Scientific notation: 9.408 × 103

### Factors of 9408

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 12

### Divisors of 9408

• Number of divisors d(n): 42
• Complete list of divisors:
• Sum of all divisors σ(n): 28956
• Sum of proper divisors (its aliquot sum) s(n): 19548
• 9408 is an abundant number, because the sum of its proper divisors (19548) is greater than itself. Its abundance is 10140

### Bases of 9408

• Binary: 100100110000002
• Base-36: 79C

### Squares and roots of 9408

• 9408 squared (94082) is 88510464
• 9408 cubed (94083) is 832706445312
• The square root of 9408 is 96.9948452239
• The cube root of 9408 is 21.1105283515

### Scales and comparisons

How big is 9408?
• 9,408 seconds is equal to 2 hours, 36 minutes, 48 seconds.
• To count from 1 to 9,408 would take you about two 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 9408 cubic inches would be around 1.8 feet tall.

### Recreational maths with 9408

• 9408 backwards is 8049
• 9408 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 9408's digits is 21
• More coming soon!