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d-powerful n.  and  junction n.

First numbers that belong to both sets:

1306, 2315, 2517, 2824, 3215, 3726, 4424, 4622, 4624, 4826, 5320, 5322, 5324, 6424, 7032, 7928, 8224, 9122, 9324, 10722, 12415, 12615, 14722, 14726, 15422, 15822, 16213, 16524, 17224, 17424, 18522, 18617, 19733, 21417, 22025, 22315, 22624, 23215, 23324, 23417, 23522, 23617, 23924, 23928, 24426, 24620, 24622, 24624, 24626, 24628, 25322, 25526, 26224, 26313, 26426, 27322, 27324, 27326, 27417, 27617, 28731, 28733, 29324, 29835, 32524, 32813, 32815, 32817, 32819, 32922, 32924, 32926, 33020, 33021, 33023, 33025, 33027, 33029, 33220, 33222, 33224, 33422, 33622, 33624, 33822, 33824, 33826, 33828, 34217, 34322, 34326, 34526, 34528, 34728, 34922, 34924, 34928, 35022, 35220, 35222, 35224, 35226, 35628, 35931, 35933, 36122, 36324, 36417, 36522, 36722, 36724, 36922, 36924, 37220, 37222, 37224, 37226, 37228, 37420, 37422, 37424, 37426, 37428, 37626, 37826, 38124, 38322, 38324, 38326, 38522, 38835, 38924, 39420, 39422, 39424, 39426, 39428, 39533, 39624, 39628, 40624, 42519, 42624, 42628, 43528, 43924, 43926, 46717, 46719, 46731, 46733, 46824, 46931, 46933, 46935, 47726, 47928, 48226, 49322, 49324, 49720, 49722, 49724, 49726, 49728, 49922, 49926, 50724, 52522, 52526, 52613, 52724, 52726, 53222, 53224, 53226, 53628, 54326, 54328, 54926, 55226, 55426, 55626, 56522, 56633, 59222, 59224, 59226, 59333, 59426, 59622, 59822, 59824, 59931, 59933, 59935, 59937, 59939, 61322, 61922, 62519, 62624, 62628, 63122, 63124, 63320, 63322, 63324, 63326, 63328, 63415, 63522, 63722, 63724, 63924, 64224, 64624, 64731, 64733, 65322, 65324, 65722, 65724, 65922, 66224, 66428, 66937, 67322, 67324, 67433, 67522, 67528, 68224, 68824, 69217, 69322, 69435, 69524, 69728, 69924, 72833, 73426, 73824, 74322, 74324, 74328, 74633, 75222, 75937, 76324, 76924, 78324, 78524, 78526, 78928, 79935, 82624, 84224, 85231, 85324, 85326, 85433, 85724, 85835, 85926, 86022, 87324, 87524, 87635, 89324, 91820, 91822, 91824, 91826, 91828, 92036, 92324, 92417, 92522, 92526.

Some larger examples :