\[\overline{abcdef} = (\overline{abc} + \overline{def})^2\]

\(a\); \(b\); \(c\); \(d\); \(e\); \(f\) doesn't have to be specific digits such that they satisfy the above equation.

Find \(\overline{abc} \cdot \overline{def} \ge 20000\).

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