# How many solutions?

**Algebra**Level 1

Let \(\left\lfloor x \right\rfloor \) denote the greatest integer less that or equal to \(x\).

So, Find the sum of all possible solutions of

\[\left\lfloor x \right\rfloor+ \left\lfloor 2x \right\rfloor+\left\lfloor 4x \right\rfloor+\left\lfloor 8x \right\rfloor+\left\lfloor 16x \right\rfloor+\left\lfloor 32x \right\rfloor=12345\]

Note: If you feel that there are no such possible values of x, type the answer as \(0\)