23328

23,328 is an even composite number composed of two prime numbers multiplied together.

What does the number 23328 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 42 divisors.

23328 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of forty-two divisors.

Prime factorization of 23328:

25 × 36

(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3)

See below for interesting mathematical facts about the number 23328 from the Numbermatics database.

Names of 23328

• Cardinal: 23328 can be written as Twenty-three thousand, three hundred twenty-eight.

Scientific notation

• Scientific notation: 2.3328 × 104

Factors of 23328

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 5

Divisors of 23328

• Number of divisors d(n): 42
• Complete list of divisors:
• Sum of all divisors σ(n): 68859
• Sum of proper divisors (its aliquot sum) s(n): 45531
• 23328 is an abundant number, because the sum of its proper divisors (45531) is greater than itself. Its abundance is 22203

Bases of 23328

• Binary: 1011011001000002
• Base-36: I00

Squares and roots of 23328

• 23328 squared (233282) is 544195584
• 23328 cubed (233283) is 12694994583552
• The square root of 23328 is 152.7350647363
• The cube root of 23328 is 28.5732189355
• Being both a perfect square and a perfect cube, 23328 is also a perfect sixth number.

Scales and comparisons

How big is 23328?
• 23,328 seconds is equal to 6 hours, 28 minutes, 48 seconds.
• To count from 1 to 23,328 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 23328 cubic inches would be around 2.4 feet tall.

Recreational maths with 23328

• 23328 backwards is 82332
• 23328 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 23328's digits is 18
• More coming soon!

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