The power distribution in the axial direction of the $3\mathrm{.}66-$m$-$long fuel rods of a PWR is well represented by

$q^{\text{'}\text{'}\text{'}}=$ constant $cos(\frac{z}{366})$

where $z$ is in centimeters. The minimum DNBR is $2\mathrm{.}1$ and occurs $245cm$ up the hottest channel, where the critical heat flux is computed to be $350\frac{W}{c}{m}^2.$ The hot channel factor for the reactor is $2\mathrm{.}82,$ and the total heat transfer area is $4800m^2.$ Calculate power of the reactor.