# 1364

## 1,364 is an even composite number composed of three prime numbers multiplied together.

What does the number 1364 look like?

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

1364 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 1364:

### 22 × 11 × 31

(2 × 2 × 11 × 31)

See below for interesting mathematical facts about the number 1364 from the Numbermatics database.

### Names of 1364

• Cardinal: 1364 can be written as One thousand, three hundred sixty-four.

### Scientific notation

• Scientific notation: 1.364 × 103

### Factors of 1364

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 44

### Divisors of 1364

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 2688
• Sum of proper divisors (its aliquot sum) s(n): 1324
• 1364 is a deficient number, because the sum of its proper divisors (1324) is less than itself. Its deficiency is 40

### Bases of 1364

• Binary: 101010101002
• Base-36: 11W

### Squares and roots of 1364

• 1364 squared (13642) is 1860496
• 1364 cubed (13643) is 2537716544
• The square root of 1364 is 36.9323706253
• The cube root of 1364 is 11.0901679567

### Scales and comparisons

How big is 1364?
• 1,364 seconds is equal to 22 minutes, 44 seconds.
• To count from 1 to 1,364 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 1364 cubic inches would be around 0.9 feet tall.

### Recreational maths with 1364

• 1364 backwards is 4631
• The number of decimal digits it has is: 4
• The sum of 1364's digits is 14
• More coming soon!