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There are 354 days in a "normal" Jewish Year and 18 days when we complete Hallel (in Israel) according to the Talmud. 354-18 = 336. Thus, 336 days in a normal year in which we don't say a full hallel.
Rabbi Benjamin Blech says as follows. The hero on Purim was Esther. פורים = 336 and 336 is also equal to לאשה as we are grateful to a woman for this miracle, Queen Esther.
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