# Test if a number is equal to the sum of the cubes of its digits. Find the smallest and largest such numbers.

Test if a number is equal to the sum of the cubes of its digits.
``````n=input(" Enter a number ")
sum=0
for i in range(0,len(n)):
sum=sum+pow(int(n[i]),3)

print("Sum of cube of digits  : ",sum)
if(sum==int(n)):
print("Digits are matching to cube  : ", n)
else:
print("Digits are NOT matching to cube : ", n)``````
Output
``````Enter a number 371
Sum of cube of digits  :  371
Digits are matching to cube  :  371``````
Find the smallest and largest such numbers.
``````my_list=[]
for n in range(10,100000): # increase this range
sum=0
my_str=str(n)
k=len(my_str)
for i in range(0,k):
sum=sum+pow(int(my_str[i]),3)

if(sum==int(n)):
print("This is an matching number: ",n)
my_list.append(n)
print("Highest number : ",max(my_list))
print("Lowest  number : ",min(my_list))``````
Output
``````This is an matching number:  153
This is an matching number:  370
This is an matching number:  371
This is an matching number:  407
Highest number :  407
Lowest  number :  153``````

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