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Omni-MATH / Michael writes down all the integers between 1 and N inclusive on a piece of paper and discovers that exactly 40% of them have leftmost digit 1 . Given that N>2017, find the smalle…

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Michael writes down all the integers between 1 and NN inclusive on a piece of paper and discovers that exactly 40%40 \% of them have leftmost digit 1 . Given that N>2017N>2017, find the smallest possible value of NN.
Plain-text mathematical notation (without MathML)
Michael writes down all the integers between 1 and N inclusive on a piece of paper and discovers that exactly 40% of them have leftmost digit 1 . Given that N>2017, find the smallest possible value of N.
Original LaTeX notation
Michael writes down all the integers between 1 and $N$ inclusive on a piece of paper and discovers that exactly $40 \%$ of them have leftmost digit 1 . Given that $N>2017$, find the smallest possible value of $N$.

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