# 1464

## 1,464 is an even composite number composed of three prime numbers multiplied together.

What does the number 1464 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 16 divisors.

1464 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixteen divisors.

## Prime factorization of 1464:

### 23 × 3 × 61

(2 × 2 × 2 × 3 × 61)

See below for interesting mathematical facts about the number 1464 from the Numbermatics database.

### Names of 1464

• Cardinal: 1464 can be written as One thousand, four hundred sixty-four.

### Scientific notation

• Scientific notation: 1.464 × 103

### Factors of 1464

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 66

### Divisors of 1464

• Number of divisors d(n): 16
• Complete list of divisors:
• Sum of all divisors σ(n): 3720
• Sum of proper divisors (its aliquot sum) s(n): 2256
• 1464 is an abundant number, because the sum of its proper divisors (2256) is greater than itself. Its abundance is 792

### Bases of 1464

• Binary: 101101110002
• Base-36: 14O

### Squares and roots of 1464

• 1464 squared (14642) is 2143296
• 1464 cubed (14643) is 3137785344
• The square root of 1464 is 38.2622529395
• The cube root of 1464 is 11.3548227415

### Scales and comparisons

How big is 1464?
• 1,464 seconds is equal to 24 minutes, 24 seconds.
• To count from 1 to 1,464 would take you about twenty-four 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 1464 cubic inches would be around 0.9 feet tall.

### Recreational maths with 1464

• 1464 backwards is 4641
• The number of decimal digits it has is: 4
• The sum of 1464's digits is 15
• More coming soon!

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"Number 1464 - Facts about the integer". Numbermatics.com. 2021. Web. 9 December 2021.

APA style:
Numbermatics. (2021). Number 1464 - Facts about the integer. Retrieved 9 December 2021, from https://numbermatics.com/n/1464/

Chicago style:
Numbermatics. 2021. "Number 1464 - Facts about the integer". https://numbermatics.com/n/1464/

The information we have on file for 1464 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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