Treat the six-digit codes you've been given as
hex codes for colours: 287669, 323442, 695273.
Convert these into
the RGB codes for the same colours: 40,118,105; 50,52,66; 105,82,115.
Then rewrite those numbers
in binary form: 00101000,01110110,01101001; 00110010,00110100,01000010; 01101001,01010010,01110011.
And finally, interpret these numbers as
binary ASCII codes: (vi, 24B, iRs.
What exactly these codes mean, I haven't yet figured out. But surely it's not coincidence that all these steps actually worked, and gave a relatively nice alphanumeric string at the end.