Building a Cuboid

Problem Background

Special for beginners, ^_^

Problem Description

Minecraft is an almost omnipotent sandbox game in which players can use various in-game resources to create and build their own world.

In Minecraft, the basic building block is a cube of side length $1$. Tony wants to use $N$ such small cubes to build a cuboid, and decorate it with his treasured stickers. One sticker can cover exactly one face of a small cube. How many stickers will he need at minimum?

Input Format

One integer $N$, the number of small cubes Tony owns. $N$ does not exceed $1000$.

Output Format

One integer: the minimum number of stickers Tony needs.

Sample Input

9

Sample Output

30

Constraints

Time limit: 1s, memory limit: 1024KiB for each test case.

Hint

To use the fewest stickers, the cuboid built from the $N$ cubes should have the smallest possible surface area — make its three dimensions as close to each other as possible.