# 3408

## 3,408 is an even composite number composed of three prime numbers multiplied together.

What does the number 3408 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 20 divisors.

3408 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty divisors.

## Prime factorization of 3408:

### 24 × 3 × 71

(2 × 2 × 2 × 2 × 3 × 71)

See below for interesting mathematical facts about the number 3408 from the Numbermatics database.

### Names of 3408

• Cardinal: 3408 can be written as Three thousand, four hundred eight.

### Scientific notation

• Scientific notation: 3.408 × 103

### Factors of 3408

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 76

### Divisors of 3408

• Number of divisors d(n): 20
• Complete list of divisors:
• Sum of all divisors σ(n): 8928
• Sum of proper divisors (its aliquot sum) s(n): 5520
• 3408 is an abundant number, because the sum of its proper divisors (5520) is greater than itself. Its abundance is 2112

### Bases of 3408

• Binary: 1101010100002
• Base-36: 2MO

### Squares and roots of 3408

• 3408 squared (34082) is 11614464
• 3408 cubed (34083) is 39582093312
• The square root of 3408 is 58.3780780773
• The cube root of 3408 is 15.0487304073

### Scales and comparisons

How big is 3408?
• 3,408 seconds is equal to 56 minutes, 48 seconds.
• To count from 1 to 3,408 would take you about fifty-six 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 3408 cubic inches would be around 1.3 feet tall.

### Recreational maths with 3408

• 3408 backwards is 8043
• The number of decimal digits it has is: 4
• The sum of 3408's digits is 15
• More coming soon!

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"Number 3408 - Facts about the integer". Numbermatics.com. 2022. Web. 8 August 2022.

APA style:
Numbermatics. (2022). Number 3408 - Facts about the integer. Retrieved 8 August 2022, from https://numbermatics.com/n/3408/

Chicago style:
Numbermatics. 2022. "Number 3408 - Facts about the integer". https://numbermatics.com/n/3408/

The information we have on file for 3408 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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