# 349904

## 349,904 is an even composite number composed of three prime numbers multiplied together.

What does the number 349904 look like?

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

349904 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 349904:

### 24 × 19 × 1151

(2 × 2 × 2 × 2 × 19 × 1151)

See below for interesting mathematical facts about the number 349904 from the Numbermatics database.

### Names of 349904

• Cardinal: 349904 can be written as Three hundred forty-nine thousand, nine hundred four.

### Scientific notation

• Scientific notation: 3.49904 × 105

### Factors of 349904

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 1172

### Divisors of 349904

• Number of divisors d(n): 20
• Complete list of divisors:
• Sum of all divisors σ(n): 714240
• Sum of proper divisors (its aliquot sum) s(n): 364336
• 349904 is an abundant number, because the sum of its proper divisors (364336) is greater than itself. Its abundance is 14432

### Bases of 349904

• Binary: 10101010110110100002
• Base-36: 7HZK

### Squares and roots of 349904

• 349904 squared (3499042) is 122432809216
• 349904 cubed (3499043) is 42839729675915264
• The square root of 349904 is 591.5268379375
• The cube root of 349904 is 70.4665434869

### Scales and comparisons

How big is 349904?
• 349,904 seconds is equal to 4 days, 1 hour, 11 minutes, 44 seconds.
• To count from 1 to 349,904 would take you about four days.

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 349904 cubic inches would be around 5.9 feet tall.

### Recreational maths with 349904

• 349904 backwards is 409943
• The number of decimal digits it has is: 6
• The sum of 349904's digits is 29
• More coming soon!