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Number Theory Level pending

Let \(S_{k}(a)\) denote the sum of digits of a number, find the value of number \((m)\) such that:

\(S_{k}(m+3)^{3}\) = \(m^{3}\)

\(S_{k}(m+6)^{3}\) = \(m^{3}\)

\(S_{k}(m+9)^{3}\) = \(m^{3}\)

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