I'll celebrate my comeback to Cody with this one easy problem...
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The rectangle below is special:
Its area is 
which equal to 
. We call such rectangle a factorial rectangle, which is an integer-sided rectangle with an area equal to a factorial number.
which equal to . We call such rectangle a factorial rectangle, which is an integer-sided rectangle with an area equal to a factorial number. In this problem, we want to know how many are these factorial rectangles.
For a given integer n, we define the function 
as the number of factorial rectangles with area 
The factorial rectangles with area 
are as follows: 
, with rotations not allowed. Hence, 
as the number of factorial rectangles with area The factorial rectangles with area are as follows: , with rotations not allowed. Hence, Write a function that will calculate 
, defined as follows:
, defined as follows:
For 
, we are given:
, we are given:
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