# 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 = 4Output:2

Divisors of 4 are 1, 2 and 4

Geometric mean = (1 * 2 * 4)^{(1/3)}= 8^{(1/3)}= 2Input:N = 16Output:8

Divisors of 16 are 1, 2, 4, 8 and 16

Geometric mean = (1 * 2 * 4 * 8 * 16)^{(1/5)}= 1024^{(1/5)}= 4

**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 **N ^{th}** term is

**āānā**.

Below is the implementation of the above approach:

## C++

`// C++ implementation of the approach` `#include <bits/stdc++.h>` `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` |

## Javascript

`<script>` `// Javascript implementation of the approach` `// Function to return the integer` `// part of the geometric mean` `// of the divisors of n` `function` `geometricMean(n)` `{` ` ` `return` `Math.sqrt(n);` `}` `// Driver code` `var` `n = 16;` `document.write(geometricMean(n));` `</script>` |

**Output:**

4