The pump (1) has a spiral chamber (3) adjoining an axial tubular inlet i.e. hollow body, and comprising a radial outlet (18). An axial guide body (8) is connected to the outlet and/or to the chamber. An impeller (9) is supported on the body, and includes an inner surface facing the body. A blading (20) is arranged on an outer surface of the impeller. A part region of the body projects from the chamber to the inlet. A section of a stator (12) transmits force onto a rotor (13), and is arranged in the region. The impeller is supported by a hydrodynamic radial bearing along radial direction.