Which of the following correctly identifies the prime factorization of 340340340?
22⋅5⋅172^2 \cdot 5 \cdot 1722⋅5⋅17
2⋅52⋅172 \cdot 5^2 \cdot 172⋅52⋅17
22⋅52⋅72^2 \cdot 5^2 \cdot 722⋅52⋅7
23⋅5⋅172^3 \cdot 5 \cdot 1723⋅5⋅17