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303490000968 = 233711809202999
BaseRepresentation
bin1000110101010010110…
…10011110100001001000
31002000100201222110001020
410122221122132201020
514433021420012333
6351231003552440
730632523305310
oct4325132364110
91060321873036
10303490000968
11107789214720
124a99a22b720
1322807ba6c3b
141099085a440
157d63c933b3
hex46a969e848

303490000968 has 128 divisors (see below), whose sum is σ = 947116800000. Its totient is φ = 78730744320.

The previous prime is 303490000921. The next prime is 303490000981. The reversal of 303490000968 is 869000094303.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1393533 + ... + 1596531.

It is an arithmetic number, because the mean of its divisors is an integer number (7399350000).

Almost surely, 2303490000968 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 303490000968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473558400000).

303490000968 is an abundant number, since it is smaller than the sum of its proper divisors (643626799032).

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

303490000968 is a wasteful number, since it uses less digits than its factorization.

303490000968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203835 (or 203831 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The spelling of 303490000968 in words is "three hundred three billion, four hundred ninety million, nine hundred sixty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 809 924 1618 1848 2427 3236 4854 5663 6472 8899 9708 11326 16989 17798 19416 22652 26697 33978 35596 45304 53394 62293 67956 71192 106788 124586 135912 186879 202999 213576 249172 373758 405998 498344 608997 747516 811996 1217994 1420993 1495032 1623992 2232989 2435988 2841986 4262979 4465978 4871976 5683972 6698967 8525958 8931956 11367944 13397934 15630923 17051916 17863912 26795868 31261846 34103832 46892769 53591736 62523692 93785538 125047384 164226191 187571076 328452382 375142152 492678573 656904764 985357146 1149583337 1313809528 1806488101 1970714292 2299166674 3448750011 3612976202 3941428584 4598333348 5419464303 6897500022 7225952404 9196666696 10838928606 12645416707 13795000044 14451904808 21677857212 25290833414 27590000088 37936250121 43355714424 50581666828 75872500242 101163333656 151745000484 303490000968