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34022771268 = 22319257580633
BaseRepresentation
bin11111101011111010…
…100100101001000100
310020211002211212010120
4133223322210221010
51024134312140033
623344014021540
72313054532653
oct375372445104
9106732755116
1034022771268
1113479a70692
1267161a78b0
13329292a425
14190a80919a
15d41d9b1b3
hex7ebea4a44

34022771268 has 48 divisors (see below), whose sum is σ = 83890000320. Its totient is φ = 10702209024.

The previous prime is 34022771179. The next prime is 34022771291. The reversal of 34022771268 is 86217722043.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231721 + ... + 348912.

It is an arithmetic number, because the mean of its divisors is an integer number (1747708340).

Almost surely, 234022771268 is an apocalyptic number.

34022771268 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

34022771268 is an abundant number, since it is smaller than the sum of its proper divisors (49867229052).

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

34022771268 is a wasteful number, since it uses less digits than its factorization.

34022771268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580916 (or 580914 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 34022771268 in words is "thirty-four billion, twenty-two million, seven hundred seventy-one thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 257 514 771 1028 1542 3084 4883 9766 14649 19532 29298 58596 580633 1161266 1741899 2322532 3483798 6967596 11032027 22064054 33096081 44128108 66192162 132384324 149222681 298445362 447668043 596890724 895336086 1790672172 2835230939 5670461878 8505692817 11340923756 17011385634 34022771268