3408

3,408 is an even composite number composed of three prime numbers multiplied together.

What does the number 3408 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 20 divisors.

3408 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty divisors.

Prime factorization of 3408:

2⁴ × 3 × 71

(2 × 2 × 2 × 2 × 3 × 71)

See below for interesting mathematical facts about the number 3408 from the Numbermatics database.

Names of 3408

Cardinal: 3408 can be written as Three thousand, four hundred eight.

Scientific notation

Scientific notation: 3.408 × 10³

Factors of 3408

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 6
Sum of prime factors: 76

Divisors of 3408

Number of divisors d(n): 20
Complete list of divisors:
1 2 3 4 6 8 12 16 24 48 71 142 213 284 426 568 852 1136 1704 3408
Sum of all divisors σ(n): 8928
Sum of proper divisors (its aliquot sum) s(n): 5520
3408 is an abundant number, because the sum of its proper divisors (5520) is greater than itself. Its abundance is 2112

Bases of 3408

Binary: 110101010000₂
Hexadecimal: 0xD50
Base-36: 2MO

Squares and roots of 3408

3408 squared (3408²) is 11614464
3408 cubed (3408³) is 39582093312
The square root of 3408 is 58.3780780773
The cube root of 3408 is 15.0487304073

Scales and comparisons

How big is 3408?

3,408 seconds is equal to 56 minutes, 48 seconds.
To count from 1 to 3,408 would take you about fifty-six 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 3408 cubic inches would be around 1.3 feet tall.

Recreational maths with 3408

3408 backwards is 8043
The number of decimal digits it has is: 4
The sum of 3408's digits is 15
More coming soon!

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The information we have on file for 3408 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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