# 380

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

What does the number 380 look like?

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

380 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 380:

### 22 × 5 × 19

(2 × 2 × 5 × 19)

See below for interesting mathematical facts about the number 380 from the Numbermatics database.

### Names of 380

• Cardinal: 380 can be written as Three hundred eighty.

### Scientific notation

• Scientific notation: 3.8 × 102

### Factors of 380

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 26

### Divisors of 380

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 840
• Sum of proper divisors (its aliquot sum) s(n): 460
• 380 is an abundant number, because the sum of its proper divisors (460) is greater than itself. Its abundance is 80

### Bases of 380

• Binary: 1011111002
• Base-36: AK

### Squares and roots of 380

• 380 squared (3802) is 144400
• 380 cubed (3803) is 54872000
• The square root of 380 is 19.4935886897
• The cube root of 380 is 7.2431564435

### Scales and comparisons

How big is 380?
• 380 seconds is equal to 6 minutes, 20 seconds.
• To count from 1 to 380 would take you about three 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 380 cubic inches would be around 0.6 feet tall.

### Recreational maths with 380

• 380 backwards is 083
• The number of decimal digits it has is: 3
• The sum of 380's digits is 11
• More coming soon!