OK- playing around here-
this website gives a height for the JH tower as 791 feet/60 stories high. This works out to an average of 13.17feet per story. The same article mentions the old JH building, now called the Berkeley Building, at 26 stories. Mathematically, 13.166 feet * 26 stories = 342.316, which is really close to the number they gave us. Maybe something to do with Berkeley?
That's what a lack of sleep and too much sugar gets you.