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:
1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 392 448 588 672 784 1176 1344 1568 2352 3136 4704 9408
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
Hexadecimal: 0x24C0
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!

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The information we have on file for 9408 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

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