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admirable n.  and  Moran n.

First numbers that belong to both sets:

42, 84, 114, 222, 402, 2022, 2202, 7588, 8596, 10014, 11202, 12102, 17668, 21102, 27748, 29764, 31002, 32788, 39844, 42868, 43876, 45388, 46396, 48916, 49924, 55972, 56476, 57484, 58492, 65548, 66556, 69076, 70588, 71596, 78148, 81676, 82684, 83188, 85708, 88732, 89236, 92764, 93268, 98308, 98812, 99316, 103002, 107884, 108892, 109396, 110202, 111102, 116956, 118468, 121996, 128548, 138628, 139636, 144676, 149716, 154756, 155764, 156268, 158284, 159292, 163828, 165844, 171388, 173908, 174916, 176428, 177436, 178444, 181468, 183484, 186508, 188524, 191548, 194572, 195076, 197092, 199612, 207676, 209692, 216748, 226828, 229348, 229852, 232876, 233884, 234892, 236908, 241948, 242956, 243964, 244468, 246484, 247492, 254548, 255556, 257068, 257572, 269164, 272188, 272692, 274708, 276724, 277228, 279244, 282772, 286804, 289324, 292852, 293356, 294364, 304948, 327628, 334684, 335188, 336196, 338716, 342748, 343756, 352828, 353836, 357364, 358372, 360892, 361396, 364924, 368452, 370972, 371476, 373492, 375508, 379036, 380548, 381556, 383068, 386092, 388612, 396172, 407764, 415828, 416836, 417844, 420868, 423388, 423892, 428932, 430948, 431956, 438508, 444556, 445564, 455644, 458164, 460684, 463708, 465724, 466228, 469252, 471268, 473284, 475804, 476308, 476812, 477316, 481348, 481852, 484372, 488404, 491428, 491932, 493444, 494452, 507556, 509068, 509572, 512596, 516628, 518644, 519148, 525196, 529732, 534268, 542836, 543844, 544348, 545356, 554428, 554932, 562492, 564508, 566524, 567532, 568036, 569044, 572068, 576604, 577108, 581644, 582652, 585172, 592732, 593236, 604828, 606844, 608356, 610876, 612388, 614908, 615916, 617428, 619444, 624484, 628516, 629524, 635572, 636076, 645148, 645652, 652708, 657244, 658252, 660268, 660772, 663292, 664804, 665308, 667324, 668332, 671356, 673372, 678412, 681436, 682444, 691516, 692524, 696052, 701596, 706636, 708652, 712684, 713188, 715708, 717724, 720748, 723772, 724276, 725284, 726292, 728812, 733852, 734356, 735364, 741916, 751492, 754516, 758044, 759052, 763084, 766108, 767116, 771148, 778204, 780724, 781228, 781732, 791812, 792316, 800884, 801388, 802396, 803908, 807436, 809452, 812476, 819028, 819532.

Some larger examples :