The letters A, B, C, D, E, and F represent digits and ABC,DEF represents a positive six-digit integer. What is the number ABC,DEF if 4(ABC,DEF) = 3(DEF,ABC)?
400000a+40000b+4000c+400d+40e+4f=300000d+30000e+3000f+300a+30b+3c
3997(¯abc)=2996(¯def)
¯abcdef=29963997