# 1664

## 1,664 is an even composite number composed of two prime numbers multiplied together.

What does the number 1664 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 16 divisors.

1664 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of sixteen divisors.

## Prime factorization of 1664:

### 27 × 13

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 13)

See below for interesting mathematical facts about the number 1664 from the Numbermatics database.

### Names of 1664

• Cardinal: 1664 can be written as One thousand, six hundred sixty-four.

### Scientific notation

• Scientific notation: 1.664 × 103

### Factors of 1664

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 15

### Divisors of 1664

• Number of divisors d(n): 16
• Complete list of divisors:
• Sum of all divisors σ(n): 3570
• Sum of proper divisors (its aliquot sum) s(n): 1906
• 1664 is an abundant number, because the sum of its proper divisors (1906) is greater than itself. Its abundance is 242

### Bases of 1664

• Binary: 110100000002
• Base-36: 1A8

### Squares and roots of 1664

• 1664 squared (16642) is 2768896
• 1664 cubed (16643) is 4607442944
• The square root of 1664 is 40.7921561087
• The cube root of 1664 is 11.8499842739

### Scales and comparisons

How big is 1664?
• 1,664 seconds is equal to 27 minutes, 44 seconds.
• To count from 1 to 1,664 would take you about twenty-seven 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 1664 cubic inches would be around 1 feet tall.

### Recreational maths with 1664

• 1664 backwards is 4661
• The number of decimal digits it has is: 4
• The sum of 1664's digits is 17
• More coming soon!

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"Number 1664 - Facts about the integer". Numbermatics.com. 2023. Web. 9 June 2023.

APA style:
Numbermatics. (2023). Number 1664 - Facts about the integer. Retrieved 9 June 2023, from https://numbermatics.com/n/1664/

Chicago style:
Numbermatics. 2023. "Number 1664 - Facts about the integer". https://numbermatics.com/n/1664/

The information we have on file for 1664 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!

Keywords: Divisors of 1664, math, Factors of 1664, curriculum, school, college, exams, university, Prime factorization of 1664, STEM, science, technology, engineering, physics, economics, calculator, one thousand, six hundred sixty-four.

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