Recurring Digits

Logic Level 2

$\begin{array}{ccccc} & & & & 2 &\boxed{\phantom0} \\ \times & & & & \boxed{\phantom0} &3 \\ \hline & & & & \boxed{\phantom0} &3 \\ & & & 2 & \boxed{\phantom0} & \\ \hline & & & 2 & \boxed{\phantom0} &3 \\ \hline \end{array}$

Above shows an incomplete long multiplication. Complete this long multiplication. What is the product of all the missing digits?