34104

34,104 is an even composite number composed of four prime numbers multiplied together.

What does the number 34104 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 48 divisors.

34104 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of forty-eight divisors.

Prime factorization of 34104:

2³ × 3 × 7² × 29

(2 × 2 × 2 × 3 × 7 × 7 × 29)

See below for interesting mathematical facts about the number 34104 from the Numbermatics database.

Names of 34104

Cardinal: 34104 can be written as Thirty-four thousand, one hundred four.

Scientific notation

Scientific notation: 3.4104 × 10⁴

Factors of 34104

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 7
Sum of prime factors: 41

Divisors of 34104

Number of divisors d(n): 48
Complete list of divisors:
1 2 3 4 6 7 8 12 14 21 24 28 29 42 49 56 58 84 87 98 116 147 168 174 196 203 232 294 348 392 406 588 609 696 812 1176 1218 1421 1624 2436 2842 4263 4872 5684 8526 11368 17052 34104
Sum of all divisors σ(n): 102600
Sum of proper divisors (its aliquot sum) s(n): 68496
34104 is an abundant number, because the sum of its proper divisors (68496) is greater than itself. Its abundance is 34392

Bases of 34104

Binary: 1000010100111000₂
Hexadecimal: 0x8538
Base-36: QBC

Squares and roots of 34104

34104 squared (34104²) is 1163082816
34104 cubed (34104³) is 39665776356864
The square root of 34104 is 184.6726834159
The cube root of 34104 is 32.4291157269

Scales and comparisons

How big is 34104?

34,104 seconds is equal to 9 hours, 28 minutes, 24 seconds.
To count from 1 to 34,104 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 34104 cubic inches would be around 2.7 feet tall.

Recreational maths with 34104

34104 backwards is 40143
34104 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 34104's digits is 12
More coming soon!

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The information we have on file for 34104 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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