# 1404

## 1,404 is an even composite number composed of three prime numbers multiplied together.

What does the number 1404 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 24 divisors.

1404 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 1404:

### 22 × 33 × 13

(2 × 2 × 3 × 3 × 3 × 13)

See below for interesting mathematical facts about the number 1404 from the Numbermatics database.

### Names of 1404

• Cardinal: 1404 can be written as One thousand, four hundred four.

### Scientific notation

• Scientific notation: 1.404 × 103

### Factors of 1404

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 18

### Divisors of 1404

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 3920
• Sum of proper divisors (its aliquot sum) s(n): 2516
• 1404 is an abundant number, because the sum of its proper divisors (2516) is greater than itself. Its abundance is 1112

### Bases of 1404

• Binary: 101011111002
• Base-36: 130

### Squares and roots of 1404

• 1404 squared (14042) is 1971216
• 1404 cubed (14043) is 2767587264
• The square root of 1404 is 37.4699879903
• The cube root of 1404 is 11.1975334705

### Scales and comparisons

How big is 1404?
• 1,404 seconds is equal to 23 minutes, 24 seconds.
• To count from 1 to 1,404 would take you about twenty-three 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 1404 cubic inches would be around 0.9 feet tall.

### Recreational maths with 1404

• 1404 backwards is 4041
• 1404 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 1404's digits is 9
• More coming soon!

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The information we have on file for 1404 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

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