# 343

## 343 is an odd composite number. It is composed of a single prime number multiplied by itself two times.

What does the number 343 look like?

This visualization shows the relationship between its 1 prime factors (large circles) and 4 divisors.

343 is an odd composite number. It is composed of one distinct prime number multiplied by itself two times. It has a total of four divisors.

## Prime factorization of 343:

### 73

(7 × 7 × 7)

See below for interesting mathematical facts about the number 343 from the Numbermatics database.

### Names of 343

• Cardinal: 343 can be written as Three hundred forty-three.

### Scientific notation

• Scientific notation: 3.43 × 102

### Factors of 343

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 3
• Sum of prime factors: 7

### Divisors of 343

• Number of divisors d(n): 4
• Complete list of divisors:
• Sum of all divisors σ(n): 400
• Sum of proper divisors (its aliquot sum) s(n): 57
• 343 is a deficient number, because the sum of its proper divisors (57) is less than itself. Its deficiency is 286

### Bases of 343

• Binary: 1010101112
• Base-36: 9J

### Squares and roots of 343

• 343 squared (3432) is 117649
• 343 cubed (3433) is 40353607
• The square root of 343 is 18.5202591775
• 343 is a perfect cube number. Its cube root is 7

### Scales and comparisons

How big is 343?
• 343 seconds is equal to 5 minutes, 43 seconds.
• To count from 1 to 343 would take you about two 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 343 cubic inches would be around 0.6 feet tall.

### Recreational maths with 343

• 343 is the same when its digits are reversed! That makes it a palindromic number.
• The number of decimal digits it has is: 3
• The sum of 343's digits is 10
• More coming soon!