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34882428843 = 3317237345263
BaseRepresentation
bin100000011111001001…
…111001111110101011
310100001000102222122000
4200133021321332223
51032414400210333
624005203302043
72343263516163
oct403711717653
9110030388560
1034882428843
1113880249099
12691607a923
13339ba6a452
14198ca635a3
15d925a9713
hex81f279fab

34882428843 has 64 divisors (see below), whose sum is σ = 57879982080. Its totient is φ = 20648162304.

The previous prime is 34882428821. The next prime is 34882428881.

34882428843 is a `hidden beast` number, since 3 + 488 + 2 + 42 + 88 + 43 = 666.

34882428843 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34882428843 - 25 = 34882428811 is a prime.

It is a super-3 number, since 3×348824288433 (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34882428843.

It is not an unprimeable number, because it can be changed into a prime (34882428803) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 748030 + ... + 793292.

It is an arithmetic number, because the mean of its divisors is an integer number (904374720).

Almost surely, 234882428843 is an apocalyptic number.

34882428843 is a deficient number, since it is larger than the sum of its proper divisors (22997553237).

34882428843 is a wasteful number, since it uses less digits than its factorization.

34882428843 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45385 (or 45379 counting only the distinct ones).

The product of its digits is 9437184, while the sum is 54.

The spelling of 34882428843 in words is "thirty-four billion, eight hundred eighty-two million, four hundred twenty-eight thousand, eight hundred forty-three".

Divisors: 1 3 9 17 23 27 51 69 73 153 207 219 391 459 621 657 1173 1241 1679 1971 3519 3723 5037 10557 11169 15111 28543 33507 45263 45333 85629 135789 256887 407367 769471 770661 1041049 1222101 2308413 3123147 3304199 6925239 9369441 9912597 17697833 20775717 28108323 29737791 53093499 56171383 75996577 89213373 159280497 168514149 227989731 477841491 505542447 683969193 1291941809 1516627341 2051907579 3875825427 11627476281 34882428843