# 363

## 363 is an odd composite number composed of two prime numbers multiplied together.

What does the number 363 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 6 divisors.

363 is an odd composite number. It is composed of two distinct prime numbers multiplied together. It has a total of six divisors.

## Prime factorization of 363:

### 3 × 112

(3 × 11 × 11)

See below for interesting mathematical facts about the number 363 from the Numbermatics database.

### Names of 363

• Cardinal: 363 can be written as Three hundred sixty-three.

### Scientific notation

• Scientific notation: 3.63 × 102

### Factors of 363

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 3
• Sum of prime factors: 14

### Divisors of 363

• Number of divisors d(n): 6
• Complete list of divisors:
• Sum of all divisors σ(n): 532
• Sum of proper divisors (its aliquot sum) s(n): 169
• 363 is a deficient number, because the sum of its proper divisors (169) is less than itself. Its deficiency is 194

### Bases of 363

• Binary: 1011010112
• Base-36: A3

### Squares and roots of 363

• 363 squared (3632) is 131769
• 363 cubed (3633) is 47832147
• The square root of 363 is 19.0525588833
• The cube root of 363 is 7.1334924897

### Scales and comparisons

How big is 363?
• 363 seconds is equal to 6 minutes, 3 seconds.
• To count from 1 to 363 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 363 cubic inches would be around 0.6 feet tall.

### Recreational maths with 363

• 363 is the same when its digits are reversed! That makes it a palindromic number.
• The number of decimal digits it has is: 3
• The sum of 363's digits is 12
• More coming soon!