# 384

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

What does the number 384 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 16 divisors.

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

## Prime factorization of 384:

### 27 × 3

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3)

See below for interesting mathematical facts about the number 384 from the Numbermatics database.

### Names of 384

• Cardinal: 384 can be written as Three hundred eighty-four.

### Scientific notation

• Scientific notation: 3.84 × 102

### Factors of 384

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 5

### Divisors of 384

• Number of divisors d(n): 16
• Complete list of divisors:
• Sum of all divisors σ(n): 1020
• Sum of proper divisors (its aliquot sum) s(n): 636
• 384 is an abundant number, because the sum of its proper divisors (636) is greater than itself. Its abundance is 252

### Bases of 384

• Binary: 1100000002
• Base-36: AO

### Squares and roots of 384

• 384 squared (3842) is 147456
• 384 cubed (3843) is 56623104
• The square root of 384 is 19.5959179421
• The cube root of 384 is 7.2684823713

### Scales and comparisons

How big is 384?
• 384 seconds is equal to 6 minutes, 24 seconds.
• To count from 1 to 384 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 384 cubic inches would be around 0.6 feet tall.

### Recreational maths with 384

• 384 backwards is 483
• The number of decimal digits it has is: 3
• The sum of 384's digits is 15
• More coming soon!