34848

34,848 is an even composite number composed of three prime numbers multiplied together.

What does the number 34848 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 54 divisors.

34848 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of fifty-four divisors.

Prime factorization of 34848:

2⁵ × 3² × 11²

(2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 11)

See below for interesting mathematical facts about the number 34848 from the Numbermatics database.

Names of 34848

Cardinal: 34848 can be written as Thirty-four thousand, eight hundred forty-eight.

Scientific notation

Scientific notation: 3.4848 × 10⁴

Factors of 34848

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 9
Sum of prime factors: 16

Divisors of 34848

Number of divisors d(n): 54
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 121 132 144 176 198 242 264 288 352 363 396 484 528 726 792 968 1056 1089 1452 1584 1936 2178 2904 3168 3872 4356 5808 8712 11616 17424 34848
Sum of all divisors σ(n): 108927
Sum of proper divisors (its aliquot sum) s(n): 74079
34848 is an abundant number, because the sum of its proper divisors (74079) is greater than itself. Its abundance is 39231

Bases of 34848

Binary: 1000100000100000₂
Hexadecimal: 0x8820
Base-36: QW0

Squares and roots of 34848

34848 squared (34848²) is 1214383104
34848 cubed (34848³) is 42318822408192
The square root of 34848 is 186.6761902333
The cube root of 34848 is 32.6632418085

Scales and comparisons

How big is 34848?

34,848 seconds is equal to 9 hours, 40 minutes, 48 seconds.
To count from 1 to 34,848 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 34848 cubic inches would be around 2.7 feet tall.

Recreational maths with 34848

34848 backwards is 84843
The number of decimal digits it has is: 5
The sum of 34848's digits is 27
More coming soon!

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The information we have on file for 34848 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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