# 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!