# 6 digit number

Number Theory Level 3

$\large\overline{aaaaaa}=\overline{bc} \times b c (2c-b) (2b+c) ( c-b)$

If natural numbers $$a,b,c$$ satisfy the above equation , find the product $$abc$$ .

Details And Assumptions:

• $$\overline{bc}$$ is a two digit number and $$\overline{aaaaaa}$$ is a six digit number.
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