Where Do They Belong?

Logic Level 1

00×00 \large \boxed{\phantom0} \: \boxed{\phantom0} \times \boxed{\phantom0} \: \boxed{\phantom0}

All the digits 1,2,31,2,3 and 44 are used exactly once to fill in the boxes above to form a product of two 2-digit integers. Maximize this product.

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