Note that the 300k hp is for the fuel pumps, the first stage max output is roughly 160 million hp.
>Darrel from Ft. Payne >How much horsepower do the shuttle's main engines produce at the time of lift off?
>NASA: The three space shuttle main engines generate the maximum equivalent of about 37 million horsepower. The fuel pump alone delivers as much as 71,000 horsepower, the oxygen pump delivers about 23,000. Just as a basis of comparison, the fuel pump alone is probably the equivalent horsepower of 28 locomotives. And with the horsepower of the oxygen pump, that's probably the equivalent of 11 more locomotives.
[1]: https://www.nasa.gov/missions/highlights/webcasts/shuttle/st...