$$45+3\{90+2\{6+3(17-14)\}\}$$
$405$
$$45+3\left(90+2\left(6+3\times 3\right)\right)$$
$$45+3\left(90+2\left(6+9\right)\right)$$
$$45+3\left(90+2\times 15\right)$$
$$45+3\left(90+30\right)$$
$$45+3\times 120$$
$$45+360$$
$$405$$
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$3^{4}\times 5$
