N342 is taken. It's currently assigned to a 1949 Ercoupe 415-G registered in Huntsville, MO.
See the full aircraft record →A tail number only frees up if the owner deregisters the aircraft or moves it to a different N-number — and even then the FAA holds it before releasing it to the public.
N342 has been worn before. Past registrations from FAA deregistration records:
Tails one nudge away from N342 that aren't assigned or reserved: