# 3166400

## 3,166,400 is an even composite number composed of three prime numbers multiplied together.

What does the number 3166400 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 42 divisors.

3166400 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty-two divisors.

## Prime factorization of 3166400:

### 26 × 52 × 1979

(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 1979)

See below for interesting mathematical facts about the number 3166400 from the Numbermatics database.

### Names of 3166400

• Cardinal: 3166400 can be written as Three million, one hundred sixty-six thousand, four hundred.

### Scientific notation

• Scientific notation: 3.1664 × 106

### Factors of 3166400

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 1986

### Divisors of 3166400

• Number of divisors d(n): 42
• Complete list of divisors:
• Sum of all divisors σ(n): 7795260
• Sum of proper divisors (its aliquot sum) s(n): 4628860
• 3166400 is an abundant number, because the sum of its proper divisors (4628860) is greater than itself. Its abundance is 1462460

### Bases of 3166400

• Binary: 11000001010000110000002
• Base-36: 1VV7K

### Squares and roots of 3166400

• 3166400 squared (31664002) is 10026088960000
• 3166400 cubed (31664003) is 31746608082944000000
• The square root of 3166400 is 1779.4381135627
• The cube root of 3166400 is 146.8436797561

### Scales and comparisons

How big is 3166400?
• 3,166,400 seconds is equal to 5 weeks, 15 hours, 33 minutes, 20 seconds.
• To count from 1 to 3,166,400 would take you about seven 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 3166400 cubic inches would be around 12.2 feet tall.

### Recreational maths with 3166400

• 3166400 backwards is 0046613
• 3166400 is a Harshad number.
• The number of decimal digits it has is: 7
• The sum of 3166400's digits is 20
• More coming soon!