390k is not a meter range that you use often, and on some meters the range is supplied by a different battery. Does the ohm meter read zero when you touch the probes together?
The meter I'm using is HDM350, it has setting for resistance from 200 to 20M, and yes, it basically reads 0 when touching them. Less than 1 anyway on the 200 setting. 0 on the rest.
The meter is this one: Digital Multimeter Trouble (Pictures)