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834257568 = 25383104701
BaseRepresentation
bin110001101110011…
…100001010100000
32011010210200020110
4301232130022200
53202032220233
6214441011320
726450033544
oct6156341240
92133720213
10834257568
11398a0a071
121b3483b40
13103ab8a41
147cb25a24
154d392663
hex31b9c2a0

834257568 has 48 divisors (see below), whose sum is σ = 2216331936. Its totient is φ = 274732800.

The previous prime is 834257561. The next prime is 834257573. The reversal of 834257568 is 865752438.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (834257561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44383 + ... + 60318.

It is an arithmetic number, because the mean of its divisors is an integer number (46173582).

Almost surely, 2834257568 is an apocalyptic number.

It is an amenable number.

834257568 is an abundant number, since it is smaller than the sum of its proper divisors (1382074368).

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

834257568 is a wasteful number, since it uses less digits than its factorization.

834257568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104797 (or 104789 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 48.

The square root of 834257568 is about 28883.5172373449. The cubic root of 834257568 is about 941.3837955937.

The spelling of 834257568 in words is "eight hundred thirty-four million, two hundred fifty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 83 96 166 249 332 498 664 996 1328 1992 2656 3984 7968 104701 209402 314103 418804 628206 837608 1256412 1675216 2512824 3350432 5025648 8690183 10051296 17380366 26070549 34760732 52141098 69521464 104282196 139042928 208564392 278085856 417128784 834257568