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aban n.  and  taxicab n.

First numbers that belong to both sets:

27000008, 27000064, 216000064, 216000512, 513000000, 729000216, 1027000000, 1728000512, 1729000000, 3907000000, 4104000000, 4123000000, 4914000000, 6013000000, 6517000000, 8029000000, 8216000000, 8587000000, 11557000000, 12697000344, 13832000000, 13851000000, 15542000000, 20683000000, 21411000000, 21488000625, 27729000000, 27894000043, 31256000000, 32832000000, 32984000000, 35359000768, 35879000976, 39312000000, 40033000000, 42877000376, 43946000000, 46683000000, 48104000000, 52136000000, 54873000000, 64125000000, 64232000000, 65728000000, 68696000000, 70497000000, 73017000000, 76951000063, 80236000000, 84266000000, 88239000024, 89995000914, 92456000000, 100711000000, 105489000000, 107919000000, 110656000000, 110808000000, 111321000000, 119377000000, 123506000000, 124336000000, 126217000000, 127062000000, 128375000000, 132678000000, 134379000000, 136591000000, 148941000000, 149389000000, 162351000000, 165464000000, 166383000000, 171288000000, 175959000000, 187551000000, 195841000000, 201159000000, 215010000504, 216027000000, 216125000000, 216783000000, 221832000000, 223152000344, 231849000000, 238329000000, 250048000000, 254079000000, 260691000696, 262656000000, 263872000000, 281827000000, 291319000875, 312039000000, 313111000384, 314496000000, 320264000000, 327763000000, 341271000350, 351568000000, 351981000000, 352261000000, 354227000328, 358036000000, 373464000000, 373977000000, 384832000000, 385415000000, 402597000000, 417088000000, 419634000000, 421876000000, 427350000168, 432944000125, 438984000000, 439003000000, 439101000000, 443889000000, 476749000000, 488375000000, 513000000000, 513856000000, 515375000000, 525824000000, 526204000448, 542851000111, 549568000000, 558441000000, 563976000000, 575883000000, 578097000000, 584136000000, 593047000000, 614250000000, 615608000504, 636785000000, 641888000000, 648613000000, 674128000000, 682803000000, 684019000000, 704599000840, 704977000000, 705912000192, 725965000768, 734854000680, 739648000000, 748683000000, 751625000000, 778813000000, 778904000000, 805610000384, 805688000000, 814625000000, 842751000000, 843912000000, 863352000000, 885248000000, 886464000000, 890568000000, 895978000125, 920673000000, 936152000000, 937062000000, 945035000000, 955016000000, 973243000000, 984067000000, 988048000000, 994688000000, 999960000832.