# 3456

## 3,456 is an even composite number composed of two prime numbers multiplied together.

What does the number 3456 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 32 divisors.

3456 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of thirty-two divisors.

## Prime factorization of 3456:

### 27 × 33

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3)

See below for interesting mathematical facts about the number 3456 from the Numbermatics database.

### Names of 3456

• Cardinal: 3456 can be written as Three thousand, four hundred fifty-six.

### Scientific notation

• Scientific notation: 3.456 × 103

### Factors of 3456

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 5

### Divisors of 3456

• Number of divisors d(n): 32
• Complete list of divisors:
• Sum of all divisors σ(n): 10200
• Sum of proper divisors (its aliquot sum) s(n): 6744
• 3456 is an abundant number, because the sum of its proper divisors (6744) is greater than itself. Its abundance is 3288

### Bases of 3456

• Binary: 1101100000002
• Base-36: 2O0

### Squares and roots of 3456

• 3456 squared (34562) is 11943936
• 3456 cubed (34563) is 41278242816
• The square root of 3456 is 58.7877538267
• The cube root of 3456 is 15.1190525987

### Scales and comparisons

How big is 3456?
• 3,456 seconds is equal to 57 minutes, 36 seconds.
• To count from 1 to 3,456 would take you about fifty-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 3456 cubic inches would be around 1.3 feet tall.

### Recreational maths with 3456

• 3456 backwards is 6543
• 3456 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 3456's digits is 18
• More coming soon!

MLA style:
"Number 3456 - Facts about the integer". Numbermatics.com. 2021. Web. 22 October 2021.

APA style:
Numbermatics. (2021). Number 3456 - Facts about the integer. Retrieved 22 October 2021, from https://numbermatics.com/n/3456/

Chicago style:
Numbermatics. 2021. "Number 3456 - Facts about the integer". https://numbermatics.com/n/3456/

The information we have on file for 3456 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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