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864346860 = 22325131919441
BaseRepresentation
bin110011100001001…
…110001011101100
32020020102100222200
4303201032023230
53232233044420
6221433541500
730263553456
oct6341161354
92206370880
10864346860
114039a0653
12201574890
1310a0c2560
1482b192d6
1550d37b90
hex3384e2ec

864346860 has 144 divisors (see below), whose sum is σ = 2972292960. Its totient is φ = 201553920.

The previous prime is 864346859. The next prime is 864346883. The reversal of 864346860 is 68643468.

864346860 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34740 + ... + 54180.

Almost surely, 2864346860 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 864346860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486146480).

864346860 is an abundant number, since it is smaller than the sum of its proper divisors (2107946100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

864346860 is a wasteful number, since it uses less digits than its factorization.

864346860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19488 (or 19483 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 864346860 is about 29399.7765297629. The cubic root of 864346860 is about 952.5680692049.

The spelling of 864346860 in words is "eight hundred sixty-four million, three hundred forty-six thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 19 20 26 30 36 38 39 45 52 57 60 65 76 78 90 95 114 117 130 156 171 180 190 195 228 234 247 260 285 342 380 390 468 494 570 585 684 741 780 855 988 1140 1170 1235 1482 1710 2223 2340 2470 2964 3420 3705 4446 4940 7410 8892 11115 14820 19441 22230 38882 44460 58323 77764 97205 116646 174969 194410 233292 252733 291615 349938 369379 388820 505466 583230 699876 738758 758199 874845 1010932 1108137 1166460 1263665 1477516 1516398 1749690 1846895 2216274 2274597 2527330 3032796 3324411 3499380 3693790 3790995 4432548 4549194 4801927 5054660 5540685 6648822 7387580 7581990 9098388 9603854 11081370 11372985 13297644 14405781 15163980 16622055 19207708 22162740 22745970 24009635 28811562 33244110 43217343 45491940 48019270 57623124 66488220 72028905 86434686 96038540 144057810 172869372 216086715 288115620 432173430 864346860