Check your electrical panel. See what breakers are responsible for your basement receptacles. If breakers are 20 amp, you should be good. If only 15 amp, not so good.
15 amp * 120 volt = 1,800 watt; 1,700 watt load is 94%
20 amp * 120 volt = 2,400 watt; 1,700 watt load is 71%
94% load is not only too much by the code - any small additional load can cause your breaker to trip.
71% is a safe load, you will have some "breathing room" with temporary additional loads.
Just don't plug everything into one surge protector. Regular wall receptacles are rated for 15A only (even though the whole circuit can be 20A). Splitting the load between two or more receptacles should be ideal.
If your circuit is only 15A, or if you have additional load on your 20A circuit that you can't permanently disconnect, you'll need help from an electrician. There is a small chance that you have a 240v dryer receptacle in your basement, but I wouldn't count on it.
And don't forget about cooling - running 1,700 watts without proper ventilation can make your basement a very sweaty place.