Numbers that are equal to the sum of cubes of its third parts

http://www.primepuzzles.net/puzzles/puzz_104.htm

153 = 1^3 + 5^3 + 3^3

370 = 3^3 + 7^3 + 0^3

371 = 3^3 + 7^3 + 1^3

407 = 4^3 + 0^3 + 7^3

165033 = 16^3 + 50^3 + 33^3

221859 = 22^3 + 18^3 + 59^3

336700 = 33^3 + 67^3 + 00^3

336701 = 33^3 + 67^3 + 1^3

340067 = 34^3 + + 00^3 + 67^3

341067 = 34^3 + 10^3 + 67^3

407000 = 40^3 + 70^3 + 00^3

407001 = 40^3 + 70^3 + 1^3

444664 = 44^3 + 46^3 + 64^3

487215 = 48^3 + 72^3 + 15^3

982827 = 98^3 + 28^3 + 27^3

983221 = 98^3 + 32^3 + 21^3

166500333 = 166^3 + 500^3 + 333^3

296584415 = 296^3 + 584^3 + 415^3

333667000 = 333^3 + 667^3 +000^3

333667001 = 333^3 + 667^3 +001^3

334000667 = 334^3 + 000^3 + 667^3

710656413 = 710^3 + 656^3 + 413^3

828538472 = 828^3 + 538^3 + 472^3

Numbers that are equal to the sum of squares

1233 = 12^2 + 33^2

990100 = 990^2 + 100^2

94122353 = 9412^2 + 2353^2