@drscriptt The stovetop I've currently got installed can run on single phase with L1 and L2 tied to a single incoming phase, thus running on 230V and with up to 30A of current (7.1kW), though it can also be installed in a two phase configuration, splitting the load onto two 230V phases between L1 and N and L2 and N. I don't think it's built to run on the 400V between L1 and L2.
For ovens, as far as I know, they're usually just single phase (230V, up to 16A) anyways. Still gotta get one.