# 1638

## 1,638 is an even composite number composed of four prime numbers multiplied together.

What does the number 1638 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 24 divisors.

1638 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 1638:

### 2 × 32 × 7 × 13

(2 × 3 × 3 × 7 × 13)

See below for interesting mathematical facts about the number 1638 from the Numbermatics database.

### Names of 1638

• Cardinal: 1638 can be written as One thousand, six hundred thirty-eight.

### Scientific notation

• Scientific notation: 1.638 × 103

### Factors of 1638

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 25

### Divisors of 1638

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 4368
• Sum of proper divisors (its aliquot sum) s(n): 2730
• 1638 is an abundant number, because the sum of its proper divisors (2730) is greater than itself. Its abundance is 1092

### Bases of 1638

• Binary: 110011001102
• Base-36: 19I

### Squares and roots of 1638

• 1638 squared (16382) is 2683044
• 1638 cubed (16383) is 4394826072
• The square root of 1638 is 40.4722126897
• The cube root of 1638 is 11.7879413343

### Scales and comparisons

How big is 1638?
• 1,638 seconds is equal to 27 minutes, 18 seconds.
• To count from 1 to 1,638 would take you about twenty-seven 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 1638 cubic inches would be around 1 feet tall.

### Recreational maths with 1638

• 1638 backwards is 8361
• 1638 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 1638's digits is 18
• More coming soon!

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"Number 1638 - Facts about the integer". Numbermatics.com. 2022. Web. 19 August 2022.

APA style:
Numbermatics. (2022). Number 1638 - Facts about the integer. Retrieved 19 August 2022, from https://numbermatics.com/n/1638/

Chicago style:
Numbermatics. 2022. "Number 1638 - Facts about the integer". https://numbermatics.com/n/1638/

The information we have on file for 1638 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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