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hex n.  and  sphenic n.

First numbers that belong to both sets:

3367, 4921, 8911, 9919, 10621, 14911, 18487, 21931, 25669, 27937, 37297, 41419, 55081, 63511, 66157, 72541, 80197, 106597, 108871, 113491, 117019, 130417, 134197, 136747, 139321, 174967, 195841, 198919, 203581, 219511, 226051, 232687, 236041, 244531, 247969, 256669, 258427, 269101, 272707, 287371, 294847, 302419, 321769, 331669, 335671, 349867, 353977, 356041, 381277, 394219, 396397, 411811, 425257, 438919, 443521, 448147, 471637, 474019, 488437, 500617, 505531, 507997, 512947, 532987, 543151, 566371, 579481, 587419, 598087, 600769, 606151, 616987, 636181, 672607, 695527, 704221, 710047, 712969, 715897, 718831, 724717, 727669, 736561, 754507, 766591, 822157, 834769, 844291, 850669, 853867, 857071, 876421, 889441, 902557, 922411, 935767, 955981, 962767, 966169, 983269, 993601, 1007461, 1031947, 1046071, 1067437, 1089019, 1092637, 1107169, 1140217, 1147627, 1188811, 1196377, 1200169, 1211581, 1242277, 1250011, 1289041, 1296919, 1316719, 1332667, 1348711, 1352737, 1360807, 1393327, 1405621, 1446991, 1463707, 1467901, 1488961, 1535821, 1553041, 1566019, 1574701, 1596511, 1614067, 1622881, 1676269, 1712341, 1753381, 1771777, 1785637, 1794907, 1804201, 1818187, 1832227, 1836919, 1851031, 1898461, 1903237, 1908019, 1936837, 1961017, 1985347, 2004919, 2019661, 2059237, 2074177, 2084167, 2089171, 2109247, 2114281, 2124367, 2144611, 2170051, 2190511, 2211067, 2252467, 2268091, 2315287, 2341717, 2347021, 2362969, 2384317, 2400391, 2405761, 2416519, 2438107, 2481571, 2492497, 2514421, 2536441, 2547487, 2569651, 2631097, 2659267, 2670577, 2693269, 2710351, 2721769, 2756167, 2802367, 2808169, 2819791, 2884141, 2890027, 2895919, 2943271, 2955169, 2961127, 3003001, 3051217, 3087631, 3105919, 3142657, 3167269, 3185791, 3210571, 3254167, 3260419, 3272941, 3291769, 3298057, 3386719, 3405871, 3431491, 3457207, 3502441, 3528421, 3541447, 3547969, 3613519, 3626701, 3719647, 3753127, 3773287, 3786757, 3793501, 3800251, 3874897, 3888547, 3915919, 3922777, 3943387, 3977857, 4005541, 4012477, 4040281, 4047247, 4054219, 4061197, 4209121, 4230469, 4237597, 4287661, 4316401, 4323601, 4345237, 4439617, 4446919, 4454227, 4461541, 4468861, 4498201, 4520269, 4535011, 4542391, 4594219, 4691251, 4721311, 4736377, 4751467, 4774147, 4781719, 4789297, 4827277, 4880701, 4888357, 4926727, 4934419, 4957531, 4988431, 5011669, 5019427, 5027191, 5112991, 5128669, 5152231, 5175847, 5231161, 5254957.

Some larger examples :