# 688

## 688 is an even composite number composed of two prime numbers multiplied together.

What does the number 688 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 10 divisors.

688 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of ten divisors.

## Prime factorization of 688:

### 24 × 43

(2 × 2 × 2 × 2 × 43)

See below for interesting mathematical facts about the number 688 from the Numbermatics database.

### Names of 688

• Cardinal: 688 can be written as Six hundred eighty-eight.

### Scientific notation

• Scientific notation: 6.88 × 102

### Factors of 688

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 45

### Divisors of 688

• Number of divisors d(n): 10
• Complete list of divisors:
• Sum of all divisors σ(n): 1364
• Sum of proper divisors (its aliquot sum) s(n): 676
• 688 is a deficient number, because the sum of its proper divisors (676) is less than itself. Its deficiency is 12

### Bases of 688

• Binary: 10101100002
• Base-36: J4

### Squares and roots of 688

• 688 squared (6882) is 473344
• 688 cubed (6883) is 325660672
• The square root of 688 is 26.2297540973
• The cube root of 688 is 8.8280099249

### Scales and comparisons

How big is 688?
• 688 seconds is equal to 11 minutes, 28 seconds.
• To count from 1 to 688 would take you about 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 688 cubic inches would be around 0.7 feet tall.

### Recreational maths with 688

• 688 backwards is 886
• The number of decimal digits it has is: 3
• The sum of 688's digits is 22
• More coming soon!

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The information we have on file for 688 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

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