# 396

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

What does the number 396 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 18 divisors.

396 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eighteen divisors.

## Prime factorization of 396:

### 22 × 32 × 11

(2 × 2 × 3 × 3 × 11)

See below for interesting mathematical facts about the number 396 from the Numbermatics database.

### Names of 396

• Cardinal: 396 can be written as Three hundred ninety-six.

### Scientific notation

• Scientific notation: 3.96 × 102

### Factors of 396

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 16

### Divisors of 396

• Number of divisors d(n): 18
• Complete list of divisors:
• Sum of all divisors σ(n): 1092
• Sum of proper divisors (its aliquot sum) s(n): 696
• 396 is an abundant number, because the sum of its proper divisors (696) is greater than itself. Its abundance is 300

### Bases of 396

• Binary: 1100011002
• Base-36: B0

### Squares and roots of 396

• 396 squared (3962) is 156816
• 396 cubed (3963) is 62099136
• The square root of 396 is 19.8997487419
• The cube root of 396 is 7.3434204621

### Scales and comparisons

How big is 396?
• 396 seconds is equal to 6 minutes, 36 seconds.
• To count from 1 to 396 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 396 cubic inches would be around 0.6 feet tall.

### Recreational maths with 396

• 396 backwards is 693
• 396 is a Harshad number.
• The number of decimal digits it has is: 3
• The sum of 396's digits is 18
• More coming soon!