306

306 is an even composite number composed of three prime numbers multiplied together.

What does the number 306 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 12 divisors.

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

Prime factorization of 306:

2 × 3² × 17

(2 × 3 × 3 × 17)

See below for interesting mathematical facts about the number 306 from the Numbermatics database.

Names of 306

Cardinal: 306 can be written as Three hundred six.

Scientific notation

Scientific notation: 3.06 × 10²

Factors of 306

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 4
Sum of prime factors: 22

Divisors of 306

Number of divisors d(n): 12
Complete list of divisors:
1 2 3 6 9 17 18 34 51 102 153 306
Sum of all divisors σ(n): 702
Sum of proper divisors (its aliquot sum) s(n): 396
306 is an abundant number, because the sum of its proper divisors (396) is greater than itself. Its abundance is 90

Bases of 306

Binary: 100110010₂
Hexadecimal: 0x132
Base-36: 8I

Squares and roots of 306

306 squared (306²) is 93636
306 cubed (306³) is 28652616
The square root of 306 is 17.4928556845
The cube root of 306 is 6.7386641009

Scales and comparisons

How big is 306?

306 seconds is equal to 5 minutes, 6 seconds.
To count from 1 to 306 would take you about two 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 306 cubic inches would be around 0.6 feet tall.

Recreational maths with 306

306 backwards is 603
306 is a Harshad number.
The number of decimal digits it has is: 3
The sum of 306's digits is 9
More coming soon!

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The information we have on file for 306 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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