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Friedman n.  and  tau n.

First numbers that belong to both sets:

128, 625, 1260, 2504, 3972, 6144, 7928, 11264, 11844, 11848, 12060, 12108, 12321, 12384, 12600, 12768, 12960, 15612, 17536, 17892, 17920, 18432, 19692, 19736, 21848, 21952, 23796, 24972, 26244, 26496, 28224, 28476, 28764, 31256, 32744, 32768, 32772, 35721, 35928, 37840, 38640, 39456, 39784, 42336, 44676, 45369, 45684, 45864, 46368, 46640, 46668, 52168, 52488, 53248, 54432, 55296, 65484, 65528, 69984, 78136, 78152, 82952, 84672, 92160, 98304, 99225, 102392, 102528, 102784, 103680, 103764, 104448, 104968, 106929, 108612, 108864, 109236, 109352, 114248, 114921, 116928, 117632, 117636, 117649, 117684, 117896, 118480, 120600, 123084, 124856, 124896, 125028, 125032, 125040, 125056, 125088, 126000, 126108, 127620, 127680, 127980, 129564, 129888, 131264, 131760, 133256, 134584, 134960, 137344, 137628, 137652, 137772, 137796, 137892, 137964, 138392, 138624, 139392, 141680, 142884, 143520, 144768, 145656, 145832, 146432, 147348, 147492, 147996, 150624, 151692, 153472, 155464, 155520, 156240, 156248, 156872, 157452, 159744, 161052, 162036, 162072, 162720, 163288, 163296, 163680, 163832, 163840, 163864, 163968, 164025, 164480, 165248, 165848, 165924, 166248, 166784, 167964, 169362, 172500, 173680, 173840, 173952, 174208, 175932, 176928, 178560, 178752, 183684, 183704, 183784, 185652, 185940, 186496, 186568, 186612, 186616, 186664, 187264, 187440, 187524, 187596, 194480, 194976, 196068, 196488, 196632, 197664, 198450, 198472, 202248, 208768, 209952, 209964, 214368, 215040, 215048, 215424, 215936, 216036, 216072, 216080, 216088, 216096, 217728, 218752, 221841, 223524, 224532, 227136, 229376, 232572, 234252, 234372, 234900, 235224, 235296, 235298, 235836, 236268, 236484, 237996, 238312, 238320, 238368, 238536, 238572, 238968, 239121, 239124, 239616, 239672, 241356, 243592, 244096, 245736, 245760, 245856, 246656, 247168, 247680, 247968, 248736, 248796, 248928, 249216, 249696, 250024, 250072, 250080, 250092, 251001, 252648, 253016, 253440, 254008, 254336, 254984, 257196, 257896, 258560, 259072, 259200, 259208, 261496, 261972, 261984, 262168, 262176, 262188, 262272, 262440, 262648, 263440, 263448, 263772, 263872, 264192, 264576, 264852, 264856.

Some larger examples :