Summer Magic 2013 - 1

Kwaka beat me to the the summer magic sudoku at the daily league.

Fill the grid such that every row, column and 3x3 box has digits 1 to 6 and 3 blank cells in it.Numbers outside the grid show the total of all numbers appearing in corresponding rows and columns. These numbers are separated by at least one empty cell. Example: 12_3_456__ = 471; 6543__21_ = 6564.