# 348

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

What does the number 348 look like?

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

348 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 348:

### 22 × 3 × 29

(2 × 2 × 3 × 29)

See below for interesting mathematical facts about the number 348 from the Numbermatics database.

### Names of 348

• Cardinal: 348 can be written as Three hundred forty-eight.

### Scientific notation

• Scientific notation: 3.48 × 102

### Factors of 348

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 34

### Divisors of 348

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 840
• Sum of proper divisors (its aliquot sum) s(n): 492
• 348 is an abundant number, because the sum of its proper divisors (492) is greater than itself. Its abundance is 144

### Bases of 348

• Binary: 1010111002
• Base-36: 9O

### Squares and roots of 348

• 348 squared (3482) is 121104
• 348 cubed (3483) is 42144192
• The square root of 348 is 18.6547581061
• The cube root of 348 is 7.0338496559

### Scales and comparisons

How big is 348?
• 348 seconds is equal to 5 minutes, 48 seconds.
• To count from 1 to 348 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 348 cubic inches would be around 0.6 feet tall.

### Recreational maths with 348

• 348 backwards is 843
• The number of decimal digits it has is: 3
• The sum of 348's digits is 15
• More coming soon!