In how many ways the number 3234 can be written as the product of two numbers which are co-prime to each other?

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A prime number is a number that has exactly two factors, 1 and the number itself. For example, 2, 3, 7, 11 and so on are prime numbers.

Co-prime numbers are pairs of numbers whose HCF (Highest Common Factor) is 1.

For example, (2,3), (3,5), (5,7), (11,13), (17,19), (21,22), (29,31), (41,43), (59,61), (71,73), (87,88), (99,100), (28,57), (13,14), these are some of coprime numbers from 1 to 100.


In how many ways the number 3234 can be written as the product of two numbers which are co-prime to each other?