# 38016

## 38,016 is an even composite number composed of three prime numbers multiplied together.

What does the number 38016 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 64 divisors.

38016 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixty-four divisors.

## Prime factorization of 38016:

### 27 × 33 × 11

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11)

See below for interesting mathematical facts about the number 38016 from the Numbermatics database.

### Names of 38016

• Cardinal: 38016 can be written as Thirty-eight thousand and sixteen.

### Scientific notation

• Scientific notation: 3.8016 × 104

### Factors of 38016

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 16

### Divisors of 38016

• Number of divisors d(n): 64
• Complete list of divisors:
• Sum of all divisors σ(n): 122400
• Sum of proper divisors (its aliquot sum) s(n): 84384
• 38016 is an abundant number, because the sum of its proper divisors (84384) is greater than itself. Its abundance is 46368

### Bases of 38016

• Binary: 10010100100000002
• Base-36: TC0

### Squares and roots of 38016

• 38016 squared (380162) is 1445216256
• 38016 cubed (380163) is 54941341188096
• The square root of 38016 is 194.9769217113
• The cube root of 38016 is 33.6244719677

### Scales and comparisons

How big is 38016?
• 38,016 seconds is equal to 10 hours, 33 minutes, 36 seconds.
• To count from 1 to 38,016 would take you about ten hours.

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 38016 cubic inches would be around 2.8 feet tall.

### Recreational maths with 38016

• 38016 backwards is 61083
• 38016 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 38016's digits is 18
• More coming soon!