From: http://en.wikipedia.org/wiki/Solar_energy#Energy_from_the_Su...
"The total solar energy absorbed by Earth's atmosphere, oceans and land masses is approximately 3,850,000 exajoules (EJ) per year."
1/365 of 3,850,000 exajoules = approx 10,000 exajoules.
From: http://en.wikipedia.org/wiki/Joule, " Energy in the United States used per year is roughly 105 EJ."
Like anything, though, a little bit of dumping is just fine, it's when we scale to the size of human civilization that it becomes a problem.
Actually I'm a bit surprised this isn't that well known with the recent focus on nuclear power, since thermal pollution and cooling system intakes that kill fish have been a minor source of controversy for some plants, including Indian Point and Vermont Yankee. Recent news on the latter: http://vermont4evolution.wordpress.com/2011/04/07/anr-to-rev...
And just for convenience here are the first few results off Google for thermal pollution:
http://en.wikipedia.org/wiki/Thermal_pollution
http://www.pollutionissues.com/Te-Un/Thermal-Pollution.html
http://www.rpi.edu/dept/chem-eng/Biotech-Environ/Environment...
I'd be interested in knowing if any country has adapted statutes with regards to treating thermal discharges as pollutants that need to be regulated. I'm guessing, based mostly on the pre-existing scale of heat loading from the sun, that thermal discharges are not considered to be a pollutant by any country, and you are free to discharge as much of it as you want, just as long as you don't damage the fish/shellfish/wildlife in the area. This also suggests if there are no fish/shellfish/wildlife in your discharge area, you are free to discharge as much as you want.
Pollutant means dredged spoil, solid waste, incinerator residue, filter backwash, sewage, garbage, sewage sludge, munitions, chemical wastes, biological materials, radioactive materials... heat... 14 C.F.R. § 122.2 (definition of "pollutant").
EPA discharge permits, which are required to discharge any pollutant in any amount into US waters, certainly do regulate thermal discharges.