# 338

## 338 is an even composite number composed of two prime numbers multiplied together.

What does the number 338 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 6 divisors.

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

## Prime factorization of 338:

### 2 × 132

(2 × 13 × 13)

See below for interesting mathematical facts about the number 338 from the Numbermatics database.

### Names of 338

• Cardinal: 338 can be written as Three hundred thirty-eight.

### Scientific notation

• Scientific notation: 3.38 × 102

### Factors of 338

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 3
• Sum of prime factors: 15

### Divisors of 338

• Number of divisors d(n): 6
• Complete list of divisors:
• Sum of all divisors σ(n): 549
• Sum of proper divisors (its aliquot sum) s(n): 211
• 338 is a deficient number, because the sum of its proper divisors (211) is less than itself. Its deficiency is 127

### Bases of 338

• Binary: 1010100102
• Base-36: 9E

### Squares and roots of 338

• 338 squared (3382) is 114244
• 338 cubed (3383) is 38614472
• The square root of 338 is 18.3847763109
• The cube root of 338 is 6.9658197677

### Scales and comparisons

How big is 338?
• 338 seconds is equal to 5 minutes, 38 seconds.
• To count from 1 to 338 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 338 cubic inches would be around 0.6 feet tall.

### Recreational maths with 338

• 338 backwards is 833
• The number of decimal digits it has is: 3
• The sum of 338's digits is 14
• More coming soon!