# 1353

## 1,353 is an odd composite number composed of three prime numbers multiplied together.

What does the number 1353 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 8 divisors.

1353 is an odd composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eight divisors.

## Prime factorization of 1353:

### 3 × 11 × 41

See below for interesting mathematical facts about the number 1353 from the Numbermatics database.

### Names of 1353

• Cardinal: 1353 can be written as One thousand, three hundred fifty-three.

### Scientific notation

• Scientific notation: 1.353 × 103

### Factors of 1353

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 3
• Sum of prime factors: 55

### Divisors of 1353

• Number of divisors d(n): 8
• Complete list of divisors:
• Sum of all divisors σ(n): 2016
• Sum of proper divisors (its aliquot sum) s(n): 663
• 1353 is a deficient number, because the sum of its proper divisors (663) is less than itself. Its deficiency is 690

### Bases of 1353

• Binary: 101010010012
• Base-36: 11L

### Squares and roots of 1353

• 1353 squared (13532) is 1830609
• 1353 cubed (13533) is 2476813977
• The square root of 1353 is 36.7831483155
• The cube root of 1353 is 11.0602751759

### Scales and comparisons

How big is 1353?
• 1,353 seconds is equal to 22 minutes, 33 seconds.
• To count from 1 to 1,353 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 1353 cubic inches would be around 0.9 feet tall.

### Recreational maths with 1353

• 1353 backwards is 3531
• The number of decimal digits it has is: 4
• The sum of 1353's digits is 12
• More coming soon!