Question 17
Different letters represent different digits in the following multiplications: $$\overline{ABCDEF}\times 2=\overline{CDEFAB},$$ $$\overline{ABCDEF}\times 3=\overline{BCDEFA},$$ $$\overline{ABCDEF}\times 4=\overline{EFABCD}.$$ Find the four-digit number $\overline{ABCD}$.
