# 3348

## 3,348 is an even composite number composed of three prime numbers multiplied together.

What does the number 3348 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 24 divisors.

3348 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 3348:

### 22 × 33 × 31

(2 × 2 × 3 × 3 × 3 × 31)

See below for interesting mathematical facts about the number 3348 from the Numbermatics database.

### Names of 3348

• Cardinal: 3348 can be written as Three thousand, three hundred forty-eight.

### Scientific notation

• Scientific notation: 3.348 × 103

### Factors of 3348

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 36

### Divisors of 3348

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 8960
• Sum of proper divisors (its aliquot sum) s(n): 5612
• 3348 is an abundant number, because the sum of its proper divisors (5612) is greater than itself. Its abundance is 2264

### Bases of 3348

• Binary: 1101000101002
• Base-36: 2L0

### Squares and roots of 3348

• 3348 squared (33482) is 11209104
• 3348 cubed (33483) is 37528080192
• The square root of 3348 is 57.8619045659
• The cube root of 3348 is 14.9598928567

### Scales and comparisons

How big is 3348?
• 3,348 seconds is equal to 55 minutes, 48 seconds.
• To count from 1 to 3,348 would take you about fifty-five 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 3348 cubic inches would be around 1.2 feet tall.

### Recreational maths with 3348

• 3348 backwards is 8433
• 3348 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 3348's digits is 18
• More coming soon!