The calculated distance (air line) between Žiar nad Hronom and Lučenec is approximately 42 miles respectively 67 kilometers.
By car or train, the actual journey to Lučenec is certainly longer, as only the direct route (as the crow flies) between Žiar nad Hronom and Lučenec has been calculated here.
Air line (approximately)
67 kilometers
36 nautical miles