ZCubes/Narcissistic Numbers

Narcissistic Numbers

Narcissistic numbers are numbers which you obtain when you take sum of the power of each digit to the length of the number, you get the number itself. For example the number 153 is equal to 1^3+5^3+3^3. Can you find out other such numbers? In this video you can understand how you can use Z to easily find out such numbers.

Video

Narcissistic Numbers

Code-Narcissistic Numbers

 function narcissistic(n)
 {
   var d=DIGITS(n)
   var k=d.length;
   return(SUM(d.$(x=>x^k))==n)
 }
narcissistic#;
nums=1..1000;
nums.pick(narcissistic(nums))

//narcissistic(152)

//3^3+7^3+0^1

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