3328

3,328 is an even composite number composed of two prime numbers multiplied together.

What does the number 3328 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 18 divisors.

3328 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of eighteen divisors.

Prime factorization of 3328:

2⁸ × 13

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 13)

See below for interesting mathematical facts about the number 3328 from the Numbermatics database.

Names of 3328

Cardinal: 3328 can be written as Three thousand, three hundred twenty-eight.

Scientific notation

Scientific notation: 3.328 × 10³

Factors of 3328

Number of distinct prime factors ω(n): 2
Total number of prime factors Ω(n): 9
Sum of prime factors: 15

Divisors of 3328

Number of divisors d(n): 18
Complete list of divisors:
1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1664 3328
Sum of all divisors σ(n): 7154
Sum of proper divisors (its aliquot sum) s(n): 3826
3328 is an abundant number, because the sum of its proper divisors (3826) is greater than itself. Its abundance is 498

Bases of 3328

Binary: 110100000000₂
Hexadecimal: 0xD00
Base-36: 2KG

Squares and roots of 3328

3328 squared (3328²) is 11075584
3328 cubed (3328³) is 36859543552
The square root of 3328 is 57.6888204075
The cube root of 3328 is 14.9300446273

Scales and comparisons

How big is 3328?

3,328 seconds is equal to 55 minutes, 28 seconds.
To count from 1 to 3,328 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 3328 cubic inches would be around 1.2 feet tall.

Recreational maths with 3328

3328 backwards is 8233
3328 is a Harshad number.
The number of decimal digits it has is: 4
The sum of 3328's digits is 16
More coming soon!

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The information we have on file for 3328 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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