# 38304

## 38,304 is an even composite number composed of four prime numbers multiplied together.

What does the number 38304 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 72 divisors.

38304 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of seventy-two divisors.

## Prime factorization of 38304:

### 25 × 32 × 7 × 19

(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 19)

See below for interesting mathematical facts about the number 38304 from the Numbermatics database.

### Names of 38304

• Cardinal: 38304 can be written as Thirty-eight thousand, three hundred four.

### Scientific notation

• Scientific notation: 3.8304 × 104

### Factors of 38304

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 31

### Divisors of 38304

• Number of divisors d(n): 72
• Complete list of divisors:
• Sum of all divisors σ(n): 131040
• Sum of proper divisors (its aliquot sum) s(n): 92736
• 38304 is an abundant number, because the sum of its proper divisors (92736) is greater than itself. Its abundance is 54432

### Bases of 38304

• Binary: 10010101101000002
• Base-36: TK0

### Squares and roots of 38304

• 38304 squared (383042) is 1467196416
• 38304 cubed (383043) is 56199491518464
• The square root of 38304 is 195.7140771637
• The cube root of 38304 is 33.7091687285

### Scales and comparisons

How big is 38304?
• 38,304 seconds is equal to 10 hours, 38 minutes, 24 seconds.
• To count from 1 to 38,304 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 38304 cubic inches would be around 2.8 feet tall.

### Recreational maths with 38304

• 38304 backwards is 40383
• 38304 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 38304's digits is 18
• More coming soon!

MLA style:
"Number 38304 - Facts about the integer". Numbermatics.com. 2023. Web. 7 June 2023.

APA style:
Numbermatics. (2023). Number 38304 - Facts about the integer. Retrieved 7 June 2023, from https://numbermatics.com/n/38304/

Chicago style:
Numbermatics. 2023. "Number 38304 - Facts about the integer". https://numbermatics.com/n/38304/

The information we have on file for 38304 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

Keywords: Divisors of 38304, math, Factors of 38304, curriculum, school, college, exams, university, Prime factorization of 38304, STEM, science, technology, engineering, physics, economics, calculator, thirty-eight thousand, three hundred four.

Oh no. Javascript is switched off in your browser.
Some bits of this website may not work unless you switch it on.