# 345744

## 345,744 is an even composite number composed of three prime numbers multiplied together.

What does the number 345744 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 75 divisors.

345744 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of seventy-five divisors.

## Prime factorization of 345744:

### 24 × 32 × 74

(2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 7 × 7)

See below for interesting mathematical facts about the number 345744 from the Numbermatics database.

### Names of 345744

• Cardinal: 345744 can be written as Three hundred forty-five thousand, seven hundred forty-four.

### Scientific notation

• Scientific notation: 3.45744 × 105

### Factors of 345744

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 12

### Divisors of 345744

• Number of divisors d(n): 75
• Complete list of divisors:
• Sum of all divisors σ(n): 1128803
• Sum of proper divisors (its aliquot sum) s(n): 783059
• 345744 is an abundant number, because the sum of its proper divisors (783059) is greater than itself. Its abundance is 437315

### Bases of 345744

• Binary: 10101000110100100002
• Base-36: 7ES0

### Squares and roots of 345744

• 345744 squared (3457442) is 119538913536
• 345744 cubed (3457443) is 41329862121590784
• 345744 is a perfect square number. Its square root is 588
• The cube root of 345744 is 70.1861710895

### Scales and comparisons

How big is 345744?
• 345,744 seconds is equal to 4 days, 2 minutes, 24 seconds.
• To count from 1 to 345,744 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 345744 cubic inches would be around 5.8 feet tall.

### Recreational maths with 345744

• 345744 backwards is 447543
• The number of decimal digits it has is: 6
• The sum of 345744's digits is 27
• More coming soon!