The power supply may be damaged internally, or you may be measuring across the wrong parts of the DC tip. There may be two or three contacts on the PS tip: the outer metal collar, the inner metal collar and (if it has one) a central pin.

If you've got it measured correctly, then it may be an internal failure of the auto-sensing circuitry - the power supply is probably "universal" and detects the AC input voltage (110 ~ 240) and adjusts the output to 19 V DC.

A 34 V input may/may not be enough to cook the laptop and/or the battery.

Like Stoney recommended, I'd take the laptop to BestBuy or a retailer and ask to plug in to a Toshiba adapter. Remove the battery and plug it in; if it boots, you're okay - but may need a new battery, if not...