# Integer part of the geometric mean of the divisors of N

Given an integer N, the task is to find the integer part of the geometric mean of the divisors of N. The Geometric Mean is a special type of average where we multiply the numbers together and then take a square root (for two numbers), cube root (for three numbers), and so on.

Examples:
Input: N = 4
Output: 2
Divisors of 4 are 1, 2 and 4
Geometric mean = (1 * 2 * 4)(1/3) = 8(1/3) = 2

Input: N = 16
Output: 8
Divisors of 16 are 1, 2, 4, 8 and 16
Geometric mean = (1 * 2 * 4 * 8 * 16)(1/5) = 1024(1/5) = 4

## Recommended: Please try your approach on {IDE} first, before moving on to the solution.

Approach: It cane be observed that a series will be formed for the values of N as 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, ….. whose Nth term is ⌊√n⌋.

Below is the implementation of the above approach:

## C++

 `// C++ implementation of the approach ` `#include ` `using` `namespace` `std; ` ` `  `// Function to return the integer ` `// part of the geometric mean ` `// of the divisors of n ` `int` `geometricMean(``int` `n) ` `{ ` `    ``return` `sqrt``(n); ` `} ` ` `  `// Driver code ` `int` `main() ` `{ ` `    ``int` `n = 16; ` ` `  `    ``cout << geometricMean(n); ` ` `  `    ``return` `0; ` `} `

## Java

 `// Java implementation of the approach ` `class` `GFG  ` `{ ` ` `  `// Function to return the integer ` `// part of the geometric mean ` `// of the divisors of n ` `static` `int` `geometricMean(``int` `n) ` `{ ` `    ``return` `(``int``) Math.sqrt(n); ` `} ` ` `  `// Driver code ` `public` `static` `void` `main(String []args) ` `{ ` `    ``int` `n = ``16``; ` `    ``System.out.println(geometricMean(n)); ` `} ` `} ` ` `  `// This code is contributed by Rajput-Ji `

## Python3

 `# Python3 implementation of the approach  ` `from` `math ``import` `sqrt ` ` `  `# Function to return the integer  ` `# part of the geometric mean  ` `# of the divisors of n  ` `def` `geometricMean(n) : ` ` `  `    ``return` `int``(sqrt(n));  ` ` `  `# Driver code  ` `if` `__name__ ``=``=` `"__main__"` `: ` ` `  `    ``n ``=` `16``;  ` ` `  `    ``print``(geometricMean(n));  ` ` `  `# This code is contributed by AnkitRai01 `

## C#

 `// C# implementation of the approach ` `using` `System;     ` ` `  `class` `GFG  ` `{ ` `  `  `// Function to return the integer ` `// part of the geometric mean ` `// of the divisors of n ` `static` `int` `geometricMean(``int` `n) ` `{ ` `    ``return` `(``int``) Math.Sqrt(n); ` `} ` `  `  `// Driver code ` `public` `static` `void` `Main(String []args) ` `{ ` `    ``int` `n = 16; ` `    ``Console.WriteLine(geometricMean(n)); ` `} ` `} ` ` `  `// This code is contributed by PrinciRaj1992 `

Output:

```4
```

My Personal Notes arrow_drop_up

Check out this Author's contributed articles.

If you like GeeksforGeeks and would like to contribute, you can also write an article using contribute.geeksforgeeks.org or mail your article to contribute@geeksforgeeks.org. See your article appearing on the GeeksforGeeks main page and help other Geeks.

Please Improve this article if you find anything incorrect by clicking on the "Improve Article" button below.

Article Tags :
Practice Tags :

1

Please write to us at contribute@geeksforgeeks.org to report any issue with the above content.