# 34768

## 34,768 is an even composite number composed of three prime numbers multiplied together.

What does the number 34768 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 20 divisors.

34768 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty divisors.

## Prime factorization of 34768:

### 24 × 41 × 53

(2 × 2 × 2 × 2 × 41 × 53)

See below for interesting mathematical facts about the number 34768 from the Numbermatics database.

### Names of 34768

• Cardinal: 34768 can be written as Thirty-four thousand, seven hundred sixty-eight.

### Scientific notation

• Scientific notation: 3.4768 × 104

### Factors of 34768

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 96

### Divisors of 34768

• Number of divisors d(n): 20
• Complete list of divisors:
• Sum of all divisors σ(n): 70308
• Sum of proper divisors (its aliquot sum) s(n): 35540
• 34768 is an abundant number, because the sum of its proper divisors (35540) is greater than itself. Its abundance is 772

### Bases of 34768

• Binary: 10000111110100002
• Base-36: QTS

### Squares and roots of 34768

• 34768 squared (347682) is 1208813824
• 34768 cubed (347683) is 42028039032832
• The square root of 34768 is 186.4617923329
• The cube root of 34768 is 32.6382278289

### Scales and comparisons

How big is 34768?
• 34,768 seconds is equal to 9 hours, 39 minutes, 28 seconds.
• To count from 1 to 34,768 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 34768 cubic inches would be around 2.7 feet tall.

### Recreational maths with 34768

• 34768 backwards is 86743
• The number of decimal digits it has is: 5
• The sum of 34768's digits is 28
• More coming soon!