$$338 \sqrt{ 4 \times 4 \times 4 \times 4 }$$
$5408$
$$338\sqrt{16\times 4\times 4}$$
$$338\sqrt{64\times 4}$$
$$338\sqrt{256}$$
$$338\times 16$$
$$5408$$
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$2^{5}\times 13^{2}$