# 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!