Vertically filled in

Logic Level 3

\[ \large{\begin{array}{ccccccc} && & & & &5&\square \\ \times && & & & & 3&\square \\ \hline && & & & \square & 2&\square \\ && & & \square & \square & 4& \\ \hline && & & \square & \square & 6 & \square \\ \hline \end{array}} \]

The above represents an incomplete long multiplication. What is the sum of all the missing digits?

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