Dudeney Number is a natural number which is a perfect cube and cube root is equal to the sum of its digits.
Example 1: 19683. 273 = 19683. Also 1+9+6+8+3 = 27. Hence it is a Dudeney Number.
Example 2: 74088. 423 = 74088. But 7+4+0+8+8 ≠ 42. Hence it is not a Dudeney Number.
Java
import java.util.*;
public class DudeneyNumber
{
public static void main(String args[])
{
int n=0,r=0,sum=0,cRoot=0,nCopy=0;
Scanner sc=new Scanner(System.in);
System.out.print("Enter a number: ");
n=sc.nextInt();
nCopy=n;
cRoot=(int)Math.cbrt(n);
while(n>0)
{
r=n%10;
sum=sum+r;
n=n/10;
}
if(cRoot==sum)
{
System.out.println(nCopy+" is a Dudeney Number");
}
else
{
System.out.println(nCopy+" is not a Dudeney Number");
}
}
}Java