2. Curious Numbers - PE 34 145 is a curious number, as 1! + 4! + 5! = 1 + 24 + 120 = 145. Note: as 1! = 1 and 2! = 2 are not sums they are not included. Attempt the following questions: a) Write a function that determines if a number is a curious number. b) Modify your function that returns the list of curious numbers up to some value (for example, all curious numbers less than 1000) c) Find the sum of all numbers which are equal to the sum of the factorial of their digits.