34968

34,968 is an even composite number composed of four prime numbers multiplied together.

What does the number 34968 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 32 divisors.

34968 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of thirty-two divisors.

Prime factorization of 34968:

2³ × 3 × 31 × 47

(2 × 2 × 2 × 3 × 31 × 47)

See below for interesting mathematical facts about the number 34968 from the Numbermatics database.

Names of 34968

Cardinal: 34968 can be written as Thirty-four thousand, nine hundred sixty-eight.

Scientific notation

Scientific notation: 3.4968 × 10⁴

Factors of 34968

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 6
Sum of prime factors: 83

Divisors of 34968

Number of divisors d(n): 32
Complete list of divisors:
1 2 3 4 6 8 12 24 31 47 62 93 94 124 141 186 188 248 282 372 376 564 744 1128 1457 2914 4371 5828 8742 11656 17484 34968
Sum of all divisors σ(n): 92160
Sum of proper divisors (its aliquot sum) s(n): 57192
34968 is an abundant number, because the sum of its proper divisors (57192) is greater than itself. Its abundance is 22224

Bases of 34968

Binary: 1000100010011000₂
Hexadecimal: 0x8898
Base-36: QZC

Squares and roots of 34968

34968 squared (34968²) is 1222761024
34968 cubed (34968³) is 42757507487232
The square root of 34968 is 186.9973261841
The cube root of 34968 is 32.7006910981

Scales and comparisons

How big is 34968?

34,968 seconds is equal to 9 hours, 42 minutes, 48 seconds.
To count from 1 to 34,968 would take you about nine 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 34968 cubic inches would be around 2.7 feet tall.

Recreational maths with 34968

34968 backwards is 86943
The number of decimal digits it has is: 5
The sum of 34968's digits is 30
More coming soon!

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The information we have on file for 34968 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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