Fatto matematico: 2342 is the number of subsets of {1,2,3,...,15} that have a sum divisible by 14.
Trivia: 2342 is a number for which we're missing a fact (submit one to numbersapi at google mail!).
Data storica: May 30th is the day in 1416 that the Council of Constance, called by the Emperor Sigismund, a supporter of Antipope John XXIII, burns Jerome of Prague following a trial for heresy.