Find the sum of the digits of the least natural number N, such that the sum of the cubes of the four smallest distinct divisors of N equals 2N.

Find the sum of all four-digit numbers that can be made using thedigits 1, 2, 3 and 4 without restriction.

A three-digit positive integer n has the property that when 2024 is divided by n, the remainderis 4. What is the sum of all such three-digit positive integers n?

The sum of all the four-digit numbers that can be formed using all the digits 2, 1, 2, 3 is equal to

A natural number has only two prime factors. It is 100 times the number of its factors. Find the sum of the digits of the least number satisfying these conditions.1432

Find the smallest natural number 'n' which becomes a perfect square when divided by 3 and a perfect cube when divided by 5.