# 342

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

What does the number 342 look like?

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

342 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 342:

### 2 × 32 × 19

(2 × 3 × 3 × 19)

See below for interesting mathematical facts about the number 342 from the Numbermatics database.

### Names of 342

• Cardinal: 342 can be written as Three hundred forty-two.

### Scientific notation

• Scientific notation: 3.42 × 102

### Factors of 342

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 24

### Divisors of 342

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 780
• Sum of proper divisors (its aliquot sum) s(n): 438
• 342 is an abundant number, because the sum of its proper divisors (438) is greater than itself. Its abundance is 96

### Bases of 342

• Binary: 1010101102
• Base-36: 9I

### Squares and roots of 342

• 342 squared (3422) is 116964
• 342 cubed (3423) is 40001688
• The square root of 342 is 18.4932420089
• The cube root of 342 is 6.9931906571

### Scales and comparisons

How big is 342?
• 342 seconds is equal to 5 minutes, 42 seconds.
• To count from 1 to 342 would take you about 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 342 cubic inches would be around 0.6 feet tall.

### Recreational maths with 342

• 342 backwards is 243
• 342 is a Harshad number.
• The number of decimal digits it has is: 3
• The sum of 342's digits is 9
• More coming soon!