# 364

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

What does the number 364 look like?

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

364 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 364:

### 22 × 7 × 13

(2 × 2 × 7 × 13)

See below for interesting mathematical facts about the number 364 from the Numbermatics database.

### Names of 364

• Cardinal: 364 can be written as Three hundred sixty-four.

### Scientific notation

• Scientific notation: 3.64 × 102

### Factors of 364

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 22

### Divisors of 364

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 784
• Sum of proper divisors (its aliquot sum) s(n): 420
• 364 is an abundant number, because the sum of its proper divisors (420) is greater than itself. Its abundance is 56

### Bases of 364

• Binary: 1011011002
• Base-36: A4

### Squares and roots of 364

• 364 squared (3642) is 132496
• 364 cubed (3643) is 48228544
• The square root of 364 is 19.0787840283
• The cube root of 364 is 7.1400369819

### Scales and comparisons

How big is 364?
• 364 seconds is equal to 6 minutes, 4 seconds.
• To count from 1 to 364 would take you about three 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 364 cubic inches would be around 0.6 feet tall.

### Recreational maths with 364

• 364 backwards is 463
• 364 is a Harshad number.
• The number of decimal digits it has is: 3
• The sum of 364's digits is 13
• More coming soon!