A municipal reservoir holds $3.6\times 10^6$ L of water (density $1.00\mathrm{g}\mathrm{m}{\mathrm{L}}^{-1}$). Drinking water is treated to $0.20$ ppm of $\mathrm{Cl}{}_2$ by mass (that is, $0.20\mathrm{g}$ of $\mathrm{Cl}{}_2$ per $10^6\mathrm{g}$ of water). The chlorine is supplied by bleaching powder that contains $35\%$ available chlorine by mass. Calculate the mass of bleaching powder needed, in kg, to two decimal places.

Numerical answer type, answer in kg, tolerance 0.01.