3348

3,348 is an even composite number composed of three prime numbers multiplied together.

What does the number 3348 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 24 divisors.

3348 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-four divisors.

Prime factorization of 3348:

2² × 3³ × 31

(2 × 2 × 3 × 3 × 3 × 31)

See below for interesting mathematical facts about the number 3348 from the Numbermatics database.

Names of 3348

Cardinal: 3348 can be written as Three thousand, three hundred forty-eight.

Scientific notation

Scientific notation: 3.348 × 10³

Factors of 3348

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 6
Sum of prime factors: 36

Divisors of 3348

Number of divisors d(n): 24
Complete list of divisors:
1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 558 837 1116 1674 3348
Sum of all divisors σ(n): 8960
Sum of proper divisors (its aliquot sum) s(n): 5612
3348 is an abundant number, because the sum of its proper divisors (5612) is greater than itself. Its abundance is 2264

Bases of 3348

Binary: 110100010100₂
Hexadecimal: 0xD14
Base-36: 2L0

Squares and roots of 3348

3348 squared (3348²) is 11209104
3348 cubed (3348³) is 37528080192
The square root of 3348 is 57.8619045659
The cube root of 3348 is 14.9598928567

Scales and comparisons

How big is 3348?

3,348 seconds is equal to 55 minutes, 48 seconds.
To count from 1 to 3,348 would take you about fifty-five 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 3348 cubic inches would be around 1.2 feet tall.

Recreational maths with 3348

3348 backwards is 8433
3348 is a Harshad number.
The number of decimal digits it has is: 4
The sum of 3348's digits is 18
More coming soon!

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The information we have on file for 3348 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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