Thank you for the replies. ereplacementparts.com was no help; nothing for the NV340; they only sell filters and such for the NV350 and other models, but thank you.
I disagree on "less expensive". A motor online is cheap, and takes literally 10 min's to swap. The trick is, finding that motor...
The search continues!
I am all for fixing over replacing when practical.
But in some cases, it begs the question of how cheap is it when time and frustration in just trying to find a part is factored in?
eReplacement and Repair Clinic are pretty good in having repair parts. The fact that these and similar site do not carry a motor for your model vacuum leaves you with two options.
You either take it to an authorized repair center (not even sure Shark has those) or try to find a salvaged motor.
The former will likely cost as much if not more than a new vacuum and the latter could literally take weeks if not months of searching with no guarantee you will find one.
I freely acknowledge it is your time and if you wish to spend it searching for a motor, that is your prerogative.
If you are adamant about keeping the vacuum, you could take the motor to an electro-mechanic specializing in electric motors who might be able to repair it.