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abundant n.  and  self-describing n.

First numbers that belong to both sets:

442244, 666666, 10313316, 10333116, 12313314, 12333114, 14212332, 14232132, 14313312, 14313318, 14333112, 14333116, 14333118, 15313312, 15313314, 15333112, 15333114, 16232132, 16313310, 16313312, 16333110, 17212332, 17232132, 17313310, 17313312, 17313318, 17333112, 17333118, 18313312, 18313314, 18313316, 18333112, 18333114, 19313310, 19313316, 19333110, 19333116, 20203332, 20244220, 20323320, 20332032, 20333220, 20422024, 20422420, 21142332, 21172332, 21192332, 21212442, 21213332, 21214224, 21231432, 21231532, 21231732, 21233214, 21242142, 21322314, 21422124, 23142132, 23162132, 23172132, 23211032, 23211432, 23211732, 23211832, 23213214, 23213216, 23234224, 23322110, 23322114, 24204220, 24212142, 24272742, 24422020, 26263332, 26264224, 26323326, 26332632, 26333226, 26422624, 27242742, 27272442, 27274224, 27332732, 27422724, 28283332, 28284224, 28323328, 28332832, 28333228, 29293332, 29332932, 31103312, 31103316, 31123314, 31123316, 31143312, 31143318, 31153312, 31153314, 31163310, 31163312, 31173310, 31173312, 31173318, 31183314, 31193310, 31193316, 31331016, 31331214, 31331216, 31331412, 31331418, 31331510, 31331514, 31331610, 31331612, 31331712, 31331718, 31331814, 31331816, 31331910, 31331916, 32203320, 32212314, 32232114, 32232116, 32263326, 32283328, 32332020, 32332626, 33103112, 33103116, 33123114, 33143110, 33143112, 33143118, 33153114, 33163110, 33173112, 33173118, 33183114, 33193110, 33193112, 33193116, 33202032, 33203220, 33243224, 33262632, 33263226, 33282832, 33292932, 33311012, 33311016, 33311214, 33311412, 33311418, 33311512, 33311514, 33311516, 33311610, 33311712, 33311718, 33311810, 33311814, 33311910, 33311916, 33322020, 33322626, 33322828, 42202420, 42212124, 42242020, 42262624, 42272724.