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34764057768 = 23311413211757
BaseRepresentation
bin100000011000000110…
…010110110010101000
310022201202201010001010
4200120012112302220
51032144044322033
623545334223520
72340325421046
oct403006266250
9108652633033
1034764057768
111381a44a160
1268a24b4ba0
133380393aab
14197b04d396
15d86ec6863
hex818196ca8

34764057768 has 64 divisors (see below), whose sum is σ = 97123561920. Its totient is φ = 10277619200.

The previous prime is 34764057767. The next prime is 34764057781. The reversal of 34764057768 is 86775046743.

It is a super-2 number, since 2×347640577682 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34764057767) 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 15 ways as a sum of consecutive naturals, for example, 1595055 + ... + 1616702.

It is an arithmetic number, because the mean of its divisors is an integer number (1517555655).

Almost surely, 234764057768 is an apocalyptic number.

It is an amenable number.

34764057768 is an abundant number, since it is smaller than the sum of its proper divisors (62359504152).

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

34764057768 is a wasteful number, since it uses less digits than its factorization.

34764057768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3211818 (or 3211814 counting only the distinct ones).

The product of its (nonzero) digits is 23708160, while the sum is 57.

The spelling of 34764057768 in words is "thirty-four billion, seven hundred sixty-four million, fifty-seven thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 41 44 66 82 88 123 132 164 246 264 328 451 492 902 984 1353 1804 2706 3608 5412 10824 3211757 6423514 9635271 12847028 19270542 25694056 35329327 38541084 70658654 77082168 105987981 131682037 141317308 211975962 263364074 282634616 395046111 423951924 526728148 790092222 847903848 1053456296 1448502407 1580184444 2897004814 3160368888 4345507221 5794009628 8691014442 11588019256 17382028884 34764057768