2352

2,352 is an even composite number composed of three prime numbers multiplied together.

What does the number 2352 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 30 divisors.

2352 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty divisors.

Prime factorization of 2352:

24 × 3 × 72

(2 × 2 × 2 × 2 × 3 × 7 × 7)

See below for interesting mathematical facts about the number 2352 from the Numbermatics database.

Names of 2352

• Cardinal: 2352 can be written as Two thousand, three hundred fifty-two.

Scientific notation

• Scientific notation: 2.352 × 103

Factors of 2352

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 12

Divisors of 2352

• Number of divisors d(n): 30
• Complete list of divisors:
• Sum of all divisors σ(n): 7068
• Sum of proper divisors (its aliquot sum) s(n): 4716
• 2352 is an abundant number, because the sum of its proper divisors (4716) is greater than itself. Its abundance is 2364

Bases of 2352

• Binary: 1001001100002
• Base-36: 1TC

Squares and roots of 2352

• 2352 squared (23522) is 5531904
• 2352 cubed (23523) is 13011038208
• The square root of 2352 is 48.4974226119
• The cube root of 2352 is 13.2987995225

Scales and comparisons

How big is 2352?
• 2,352 seconds is equal to 39 minutes, 12 seconds.
• To count from 1 to 2,352 would take you about thirty-nine 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 2352 cubic inches would be around 1.1 feet tall.

Recreational maths with 2352

• 2352 backwards is 2532
• 2352 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 2352's digits is 12
• More coming soon!

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