Problem 8.4. Find any solution to the puzzle

$$
\overline{A B C A}=182 \cdot \overline{C D}
$$

where $A, B, C, D$ are four different non-zero digits (the notation $\overline{X Y \ldots Z}$ means the decimal representation of the number).

As an answer, write the four-digit number $\overline{A B C D}$.