# 1356

## 1,356 is an even composite number composed of three prime numbers multiplied together.

What does the number 1356 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 12 divisors.

1356 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twelve divisors.

## Prime factorization of 1356:

### 22 × 3 × 113

(2 × 2 × 3 × 113)

See below for interesting mathematical facts about the number 1356 from the Numbermatics database.

### Names of 1356

• Cardinal: 1356 can be written as One thousand, three hundred fifty-six.

### Scientific notation

• Scientific notation: 1.356 × 103

### Factors of 1356

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 118

### Divisors of 1356

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 3192
• Sum of proper divisors (its aliquot sum) s(n): 1836
• 1356 is an abundant number, because the sum of its proper divisors (1836) is greater than itself. Its abundance is 480

### Bases of 1356

• Binary: 101010011002
• Base-36: 11O

### Squares and roots of 1356

• 1356 squared (13562) is 1838736
• 1356 cubed (13563) is 2493326016
• The square root of 1356 is 36.8239052791
• The cube root of 1356 is 11.0684437719

### Scales and comparisons

How big is 1356?
• 1,356 seconds is equal to 22 minutes, 36 seconds.
• To count from 1 to 1,356 would take you about twenty-two 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 1356 cubic inches would be around 0.9 feet tall.

### Recreational maths with 1356

• 1356 backwards is 6531
• The number of decimal digits it has is: 4
• The sum of 1356's digits is 15
• More coming soon!