Compute 2018 #3

Find the smallest $9$ -digit number $\overline{abcdefghi}$ with distinct non-zero digits $a, b, c, d, e, f, g, h,$ and $i,$ such that $\overline{abc} * d + \overline{ef} * g + \overline{hi} = 2018.$ Note: The asterisk sign $" * "$ means multiplication.