I had an Xbox One that was damaged in a lightning storm that would still play sounds when you pressed the power/eject buttons but wouldn't actually turn on (nor would it eject the disc when pressing the button; I had to use a paperclip). It was bought from Amazon, but I took it to a Microsoft Store, and they were able to do a swap on that same night. It wasn't a brand-new unit, so I assume it was a refurb meant for just this sort of situation. I don't know if they'll deem your "hardware noise" as a valid issue in terms of issuing a replacement, but you can sure try.
How does that even happen? Was it connected to a surge protector or anything?