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Default Countif

I am trying to create a countif formula that meets the following criteria:

if <=0, 0
if =1<=338, 1
if =339, 4
if =340<=351, 1
if =352, 4
if =353, 1

So far, I can only get a value of 1 to return for all criteria with the
following formula:
=+COUNT(IF(430<=0,0,IF(E430=1<=338,1,IF(E430=340 <=351,1,IF(E430353,1,IF(E430=339,4,IF(E430=352,4, 0)))))))
 
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