# 414

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

What does the number 414 look like?

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

414 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 414:

### 2 × 32 × 23

(2 × 3 × 3 × 23)

See below for interesting mathematical facts about the number 414 from the Numbermatics database.

### Names of 414

• Cardinal: 414 can be written as Four hundred fourteen.

### Scientific notation

• Scientific notation: 4.14 × 102

### Factors of 414

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 28

### Divisors of 414

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 936
• Sum of proper divisors (its aliquot sum) s(n): 522
• 414 is an abundant number, because the sum of its proper divisors (522) is greater than itself. Its abundance is 108

### Bases of 414

• Binary: 1100111102
• Base-36: BI

### Squares and roots of 414

• 414 squared (4142) is 171396
• 414 cubed (4143) is 70957944
• The square root of 414 is 20.3469899493
• The cube root of 414 is 7.4530399137

### Scales and comparisons

How big is 414?
• 414 seconds is equal to 6 minutes, 54 seconds.
• To count from 1 to 414 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 414 cubic inches would be around 0.6 feet tall.

### Recreational maths with 414

• 414 is the same when its digits are reversed! That makes it a palindromic number.
• 414 is a Harshad number.
• The number of decimal digits it has is: 3
• The sum of 414's digits is 9
• More coming soon!