#Ruby, 128 bytes

c=->i{p i.to_s+'B'if i<1e3;p (i/1e3).to_s+'kB'if i>=1e3&&i<1e6;p (i/1e6).to_s+'MB'if i>=1e6&&i<1e9;p (i/1e9).to_s+'GB'if i>=1e9}

I did it the long way, this is pretty bad.

Output:

c[0] # => "0B"
c[999] # => "999B"
c[1000] # => "1.0kB" 
c[1023] # => "1.023kB"
c[1024] # => "1.024kB"
c[1601] # => "1.601kB"
c[160581] # => "160.581kB"
c[4066888] # => "4.066888MB"
c[634000000] # => "634.0MB"
c[2147483647] # => "2.147483647GB"

#Ruby, 128 bytes

c=->i{p i.to_s+'B'if i<1e3;p (i/1e3).to_s+'kB'if i>=1e3&&i<1e6;p (i/1e6).to_s+'MB'if i>=1e6&&i<1e9;p (i/1e9).to_s+'GB'if i>=1e9}

I did it the long way, this is pretty bad.

#Output

c[0] # => "0B"
c[999] # => "999B"
c[1000] # => "1.0kB" 
c[1023] # => "1.023kB"
c[1024] # => "1.024kB"
c[1601] # => "1.601kB"
c[160581] # => "160.581kB"
c[4066888] # => "4.066888MB"
c[634000000] # => "634.0MB"
c[2147483647] # => "2.147483647GB"

#Edit Added TB for an extra 39 bytes

c=->i{p i.to_s+'B'if i<1e3;p (i/1e3).to_s+'kB'if i>=1e3&&i<1e6;p (i/1e6).to_s+'MB'if i>=1e6&&i<1e9;p (i/1e9).to_s+'GB'if i>=1e9&&i<1e12;p (i/1e12).to_s+'TB'if i>=1e12}

#Output:

c[1000000000000] # => "1.0TB"

#Ruby, 128 bytes

c=->i{p i.to_s+'B'if i<1e3;p (i/1e3).to_s+'kB'if i>=1e3&&i<1e6;p (i/1e6).to_s+'MB'if i>=1e6&&i<1e9;p (i/1e9).to_s+'GB'if i>=1e9}

I did it the long way, this is pretty bad.

#Ruby, 128 bytes

c=->i{p i.to_s+'B'if i<1e3;p (i/1e3).to_s+'kB'if i>=1e3&&i<1e6;p (i/1e6).to_s+'MB'if i>=1e6&&i<1e9;p (i/1e9).to_s+'GB'if i>=1e9}

I did it the long way, this is pretty bad.

Output:

c[0] # => "0B"
c[999] # => "999B"
c[1000] # => "1.0kB" 
c[1023] # => "1.023kB"
c[1024] # => "1.024kB"
c[1601] # => "1.601kB"
c[160581] # => "160.581kB"
c[4066888] # => "4.066888MB"
c[634000000] # => "634.0MB"
c[2147483647] # => "2.147483647GB"