We present results of an all-sky hard X-ray survey based on almost four years of observations with the IBIS telescope on board the INTEGRAL observatory. The dead time-corrected exposure of the survey is ~33 Ms. Approximately 12% and 80% of the sky have been covered to limiting fluxes lower than 1 and 5 mCrab, respectively. Our catalog of detected sources includes 400 objects, 339 of which exceed a 5 sigma detection threshold on the time-averaged map of the sky and the rest were detected in various subsamples of exposures. Among the identified sources, 213 are Galactic (87 low-mass X-ray binaries, 74 high-mass X-ray binaries, 21 cataclysmic variables, 6 coronally active stars, and other types) and 136 are extragalactic, including 131 active galactic nuclei (AGNs) and 3 clusters of galaxies. We obtained number-flux functions for AGNs and Galactic sources. The logN-logS relation of AGNs (excluding blazars) is based on 69 sources with fluxes higher than S_lim=1.1 x 10^{-11} erg/s/cm^2 (~0.8 mCrab) in the 17-60 keV energy band. The cumulative number-flux function of AGNs located at Galactic latitudes $|b|>5^circ$, where the survey is characterized by high identification completeness, can be described by a power law with a slope of 1.62 +/- 0.15 and normalization of (5.7 +/- 0.7) x 10^{-3} sources per deg^2 at fluxes >1.43 x 10^{-11} erg/s/cm^2 (>1 mCrab). AGNs with fluxes higher than S_lim make up ~1% of the cosmic X-ray background at 17-60 keV. We present evidence of strong inhomogeneity in the spatial distribution of nearby (<70 Mpc) AGNs, which reflects the large-scale structure in the local Universe.
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