# 349

## 349 is a prime number. Like all primes greater than two, it is odd and has no factors apart from itself and one.

What does the number 349 look like?

As a prime, it is not composed of any other numbers and has no internal structure.

349 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 349:

### 349

See below for interesting mathematical facts about the number 349 from the Numbermatics database.

### Names of 349

• Cardinal: 349 can be written as Three hundred forty-nine.

### Scientific notation

• Scientific notation: 3.49 × 102

### Factors of 349

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 349

### Divisors of 349

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 350
• Sum of proper divisors (its aliquot sum) s(n): 1
• 349 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 348

### Bases of 349

• Binary: 1010111012
• Base-36: 9P

### Squares and roots of 349

• 349 squared (3492) is 121801
• 349 cubed (3493) is 42508549
• The square root of 349 is 18.6815416923
• The cube root of 349 is 7.0405806167

### Scales and comparisons

How big is 349?
• 349 seconds is equal to 5 minutes, 49 seconds.
• To count from 1 to 349 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 349 cubic inches would be around 0.6 feet tall.

### Recreational maths with 349

• 349 backwards is 943
• The number of decimal digits it has is: 3
• The sum of 349's digits is 16
• More coming soon!