# 1350

## 1,350 is an even composite number composed of three prime numbers multiplied together.

What does the number 1350 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 24 divisors.

1350 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 1350:

### 2 × 33 × 52

(2 × 3 × 3 × 3 × 5 × 5)

See below for interesting mathematical facts about the number 1350 from the Numbermatics database.

### Names of 1350

• Cardinal: 1350 can be written as One thousand, three hundred fifty.

### Scientific notation

• Scientific notation: 1.35 × 103

### Factors of 1350

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 10

### Divisors of 1350

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 3720
• Sum of proper divisors (its aliquot sum) s(n): 2370
• 1350 is an abundant number, because the sum of its proper divisors (2370) is greater than itself. Its abundance is 1020

### Bases of 1350

• Binary: 101010001102
• Base-36: 11I

### Squares and roots of 1350

• 1350 squared (13502) is 1822500
• 1350 cubed (13503) is 2460375000
• The square root of 1350 is 36.7423461419
• The cube root of 1350 is 11.0520944959

### Scales and comparisons

How big is 1350?
• 1,350 seconds is equal to 22 minutes, 30 seconds.
• To count from 1 to 1,350 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 1350 cubic inches would be around 0.9 feet tall.

### Recreational maths with 1350

• 1350 backwards is 0531
• 1350 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 1350's digits is 9
• More coming soon!