# 34848

## 34,848 is an even composite number composed of three prime numbers multiplied together.

What does the number 34848 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 54 divisors.

34848 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of fifty-four divisors.

## Prime factorization of 34848:

### 25 × 32 × 112

(2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 11)

See below for interesting mathematical facts about the number 34848 from the Numbermatics database.

### Names of 34848

• Cardinal: 34848 can be written as Thirty-four thousand, eight hundred forty-eight.

### Scientific notation

• Scientific notation: 3.4848 × 104

### Factors of 34848

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 16

### Divisors of 34848

• Number of divisors d(n): 54
• Complete list of divisors:
• Sum of all divisors σ(n): 108927
• Sum of proper divisors (its aliquot sum) s(n): 74079
• 34848 is an abundant number, because the sum of its proper divisors (74079) is greater than itself. Its abundance is 39231

### Bases of 34848

• Binary: 10001000001000002
• Base-36: QW0

### Squares and roots of 34848

• 34848 squared (348482) is 1214383104
• 34848 cubed (348483) is 42318822408192
• The square root of 34848 is 186.6761902333
• The cube root of 34848 is 32.6632418085

### Scales and comparisons

How big is 34848?
• 34,848 seconds is equal to 9 hours, 40 minutes, 48 seconds.
• To count from 1 to 34,848 would take you about nine hours.

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 34848 cubic inches would be around 2.7 feet tall.

### Recreational maths with 34848

• 34848 backwards is 84843
• The number of decimal digits it has is: 5
• The sum of 34848's digits is 27
• More coming soon!