1) Turn off your computer.
2) Remove the side panel of the *system unit*.
2.1) Turn it on.
3) Observe the fan's operation! Is there any noise coming from it? Is it rotating normally?
4) Don't put the side panel back on at all! There are no lethal currents on the board. It's summer now, and I always remove the side panel for the summer.
5) For now, there's nothing critically wrong *for Intel(R) Celeron(R) – they are durable*.
But! Do everything as I said, and your processor's temperature will drop.
If something is wrong with the cooler = replace the cooler!
Sincerely, Indigo
Added 3 minutes later
Don't turn it on right away. Wait 10-20 minutes. Let the system cool down, if the cooler is working properly.
Let me know how the temperatures are after all this.
Added 2 minutes later
There shouldn't be any humming from the cooler. *No loud noise*. Just like when a fan is running.
Added 3 minutes later
How can I put it? If there's a characteristic *buzzing* sound, then something is wrong with it! We'll replace it.
Added 4 minutes later
I have to go now, let me know. If the temperature doesn't drop, we'll replace the cooler. I'll find one. Expect to pay around 300 rubles, maximum.