# 384000

## 384,000 is an even composite number composed of three prime numbers multiplied together.

What does the number 384000 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 88 divisors.

384000 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eighty-eight divisors.

## Prime factorization of 384000:

### 210 × 3 × 53

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5)

See below for interesting mathematical facts about the number 384000 from the Numbermatics database.

### Names of 384000

• Cardinal: 384000 can be written as Three hundred eighty-four thousand.

### Scientific notation

• Scientific notation: 3.84 × 105

### Factors of 384000

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 10

### Divisors of 384000

• Number of divisors d(n): 88
• Complete list of divisors:
• Sum of all divisors σ(n): 1277328
• Sum of proper divisors (its aliquot sum) s(n): 893328
• 384000 is an abundant number, because the sum of its proper divisors (893328) is greater than itself. Its abundance is 509328

### Bases of 384000

• Binary: 10111011100000000002
• Base-36: 88AO

### Squares and roots of 384000

• 384000 squared (3840002) is 147456000000
• 384000 cubed (3840003) is 56623104000000000
• The square root of 384000 is 619.6773353931
• The cube root of 384000 is 72.6848237133

### Scales and comparisons

How big is 384000?
• 384,000 seconds is equal to 4 days, 10 hours, 40 minutes.
• To count from 1 to 384,000 would take you about four days.

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 384000 cubic inches would be around 6.1 feet tall.

### Recreational maths with 384000

• 384000 backwards is 000483
• 384000 is a Harshad number.
• The number of decimal digits it has is: 6
• The sum of 384000's digits is 15
• More coming soon!