1764 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-seven divisors.
Prime factorization of 1764:
22 × 32 × 72
(2 × 2 × 3 × 3 × 7 × 7)
22 × 32 × 72(2 × 2 × 3 × 3 × 7 × 7)
See below for interesting mathematical facts about the number 1764 from the Numbermatics database.
Names of 1764
- Cardinal: 1764 can be written as One thousand, seven hundred sixty-four.
- Scientific notation: 1.764 × 103
Factors of 1764
- Number of distinct prime factors ω(n): 3
- Total number of prime factors Ω(n): 6
- Sum of prime factors: 12
Divisors of 1764
- Number of divisors d(n): 27
- Complete list of divisors:
- Sum of all divisors σ(n): 5187
- Sum of proper divisors (its aliquot sum) s(n): 3423
- 1764 is an abundant number, because the sum of its proper divisors (3423) is greater than itself. Its abundance is 1659
Bases of 1764
- Binary: 11011100100 2
- Hexadecimal: 0x6e4
Squares and roots of 1764
- 1764 squared (17642) is 3111696
- 1764 cubed (17643) is 5489031744
1764 is a
perfect square number. Its square rootis 42
cube rootof 1764 is 12.0827612359
Scales and comparisonsHow big is 1764?
- 1,764 seconds is equal to 29 minutes, 24 seconds.
To count from 1 to 1,764 would take you about twenty-nine 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.
Note: we do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!
- A cube with a volume of 1764 cubic inches would be around 1 feet tall.
Recreational maths with 1764
- 1764 backwards is 4671
- 1764 is a
- The number of decimal digits it has is: 4
- The sum of 1764's digits is 18
- More coming soon!
The information we have on file for 1764 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!