# 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:
• 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
• 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!