# 1408

## 1,408 is an even composite number composed of two prime numbers multiplied together.

What does the number 1408 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 16 divisors.

1408 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of sixteen divisors.

## Prime factorization of 1408:

### 27 × 11

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 11)

See below for interesting mathematical facts about the number 1408 from the Numbermatics database.

### Names of 1408

• Cardinal: 1408 can be written as One thousand, four hundred eight.

### Scientific notation

• Scientific notation: 1.408 × 103

### Factors of 1408

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 13

### Divisors of 1408

• Number of divisors d(n): 16
• Complete list of divisors:
• Sum of all divisors σ(n): 3060
• Sum of proper divisors (its aliquot sum) s(n): 1652
• 1408 is an abundant number, because the sum of its proper divisors (1652) is greater than itself. Its abundance is 244

### Bases of 1408

• Binary: 101100000002
• Base-36: 134

### Squares and roots of 1408

• 1408 squared (14082) is 1982464
• 1408 cubed (14083) is 2791309312
• The square root of 1408 is 37.5233260787
• The cube root of 1408 is 11.2081573227

### Scales and comparisons

How big is 1408?
• 1,408 seconds is equal to 23 minutes, 28 seconds.
• To count from 1 to 1,408 would take you about twenty-three 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 1408 cubic inches would be around 0.9 feet tall.

### Recreational maths with 1408

• 1408 backwards is 8041
• The number of decimal digits it has is: 4
• The sum of 1408's digits is 13
• More coming soon!

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"Number 1408 - Facts about the integer". Numbermatics.com. 2022. Web. 25 May 2022.

APA style:
Numbermatics. (2022). Number 1408 - Facts about the integer. Retrieved 25 May 2022, from https://numbermatics.com/n/1408/

Chicago style:
Numbermatics. 2022. "Number 1408 - Facts about the integer". https://numbermatics.com/n/1408/

The information we have on file for 1408 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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