# 2338

## 2,338 is an even composite number composed of three prime numbers multiplied together.

What does the number 2338 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 8 divisors.

2338 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eight divisors.

## Prime factorization of 2338:

### 2 × 7 × 167

See below for interesting mathematical facts about the number 2338 from the Numbermatics database.

### Names of 2338

• Cardinal: 2338 can be written as Two thousand, three hundred thirty-eight.

### Scientific notation

• Scientific notation: 2.338 × 103

### Factors of 2338

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 3
• Sum of prime factors: 176

### Divisors of 2338

• Number of divisors d(n): 8
• Complete list of divisors:
• Sum of all divisors σ(n): 4032
• Sum of proper divisors (its aliquot sum) s(n): 1694
• 2338 is a deficient number, because the sum of its proper divisors (1694) is less than itself. Its deficiency is 644

### Bases of 2338

• Binary: 1001001000102
• Hexadecimal: 0x922
• Base-36: 1SY

### Squares and roots of 2338

• 2338 squared (23382) is 5466244
• 2338 cubed (23383) is 12780078472
• The square root of 2338 is 48.3528696151
• The cube root of 2338 is 13.2723604873

### Scales and comparisons

How big is 2338?
• 2,338 seconds is equal to 38 minutes, 58 seconds.
• To count from 1 to 2,338 would take you about thirty-eight 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 2338 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2338

• 2338 backwards is 8332
• The number of decimal digits it has is: 4
• The sum of 2338's digits is 16
• More coming soon!

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The information we have on file for 2338 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!

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