$$3( { 4 }^{ 3+2 } ) { \left(3 \times 4 \right) }^{ 2 } +200$$
$442568$
$$3\times 4^{5}\times \left(3\times 4\right)^{2}+200$$
$$3\times 1024\times \left(3\times 4\right)^{2}+200$$
$$3072\times \left(3\times 4\right)^{2}+200$$
$$3072\times 12^{2}+200$$
$$3072\times 144+200$$
$$442368+200$$
$$442568$$
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$2^{3}\times 7^{2}\times 1129$
