# 336

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

What does the number 336 look like?

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

336 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 336:

### 24 × 3 × 7

(2 × 2 × 2 × 2 × 3 × 7)

See below for interesting mathematical facts about the number 336 from the Numbermatics database.

### Names of 336

• Cardinal: 336 can be written as Three hundred thirty-six.

### Scientific notation

• Scientific notation: 3.36 × 102

### Factors of 336

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 12

### Divisors of 336

• Number of divisors d(n): 20
• Complete list of divisors:
• Sum of all divisors σ(n): 992
• Sum of proper divisors (its aliquot sum) s(n): 656
• 336 is an abundant number, because the sum of its proper divisors (656) is greater than itself. Its abundance is 320

### Bases of 336

• Binary: 1010100002
• Base-36: 9C

### Squares and roots of 336

• 336 squared (3362) is 112896
• 336 cubed (3363) is 37933056
• The square root of 336 is 18.3303027799
• The cube root of 336 is 6.9520532897

### Scales and comparisons

How big is 336?
• 336 seconds is equal to 5 minutes, 36 seconds.
• To count from 1 to 336 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 336 cubic inches would be around 0.6 feet tall.

### Recreational maths with 336

• 336 backwards is 633
• 336 is a Harshad number.
• The number of decimal digits it has is: 3
• The sum of 336's digits is 12
• More coming soon!