# 3920400

## 3,920,400 is an even composite number composed of four prime numbers multiplied together.

What does the number 3920400 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 225 divisors.

3920400 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two hundred twenty-five divisors.

## Prime factorization of 3920400:

### 24 × 34 × 52 × 112

(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 11 × 11)

See below for interesting mathematical facts about the number 3920400 from the Numbermatics database.

### Names of 3920400

• Cardinal: 3920400 can be written as Three million, nine hundred twenty thousand, four hundred.

### Scientific notation

• Scientific notation: 3.9204 × 106

### Factors of 3920400

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 21

### Divisors of 3920400

• Number of divisors d(n): 225
• Complete list of divisors:
• Sum of all divisors σ(n): 15465373
• Sum of proper divisors (its aliquot sum) s(n): 11544973
• 3920400 is an abundant number, because the sum of its proper divisors (11544973) is greater than itself. Its abundance is 7624573

### Bases of 3920400

• Binary: 11101111010010000100002
• Base-36: 2C100

### Squares and roots of 3920400

• 3920400 squared (39204002) is 15369536160000
• 3920400 cubed (39204003) is 60254729561664000000
• 3920400 is a perfect square number. Its square root is 1980
• The cube root of 3920400 is 157.6800661649

### Scales and comparisons

How big is 3920400?
• 3,920,400 seconds is equal to 6 weeks, 3 days, 9 hours.
• To count from 1 to 3,920,400 would take you about nine weeks!

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 3920400 cubic inches would be around 13.1 feet tall.

### Recreational maths with 3920400

• 3920400 backwards is 0040293
• 3920400 is a Harshad number.
• The number of decimal digits it has is: 7
• The sum of 3920400's digits is 18
• More coming soon!