Broken nozzle inside heater block

[gvg 0]

I was having under extrusion problems with my Ultimaker Original last weak, which I believe was a pressure problem in my extruder, grasping to hard on the filament leading to irregular diameter and eventually clogs on the nozzle.

I had the brilliant ideia to disassemble the print head, took off the nozzle just fine and saw that was still clogged. When I was trying to put the nozzle back in the heater block, with Ultimaker turned off, and I manage to broke the nozzle, leaving the screw part stuck inside the heater block.

Now I have the heater block with a clogged screw in it. What is the best way to remove the broken nozzle from the heater block? Is it better to turn on the Ultimaker and heat it up? Or leave the clogged filament as a leverage so I can get it out with a screw extractor?