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34115042320 = 245977436477
BaseRepresentation
bin11111110001011010…
…100011110000010000
310021001112110201012221
4133301122203300100
51024331422323240
623401111430424
72315255034532
oct376132436020
9107045421187
1034115042320
1113517063257
126741085414
1332a8a95c98
141918b87852
15d4a025a4a
hex7f16a3c10

34115042320 has 40 divisors (see below), whose sum is σ = 79398840024. Its totient is φ = 13632018432.

The previous prime is 34115042293. The next prime is 34115042333. The reversal of 34115042320 is 2324051143.

It can be written as a sum of positive squares in 4 ways, for example, as 3994745616 + 30120296704 = 63204^2 + 173552^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×341150423202 (a number of 22 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 140079 + ... + 296398.

Almost surely, 234115042320 is an apocalyptic number.

It is an amenable number.

34115042320 is an abundant number, since it is smaller than the sum of its proper divisors (45283797704).

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

34115042320 is a wasteful number, since it uses less digits than its factorization.

34115042320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437467 (or 437461 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 34115042320 its reverse (2324051143), we get a palindrome (36439093463).

The spelling of 34115042320 in words is "thirty-four billion, one hundred fifteen million, forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 977 1954 3908 4885 7816 9770 15632 19540 39080 78160 436477 872954 1745908 2182385 3491816 4364770 6983632 8729540 17459080 34918160 426438029 852876058 1705752116 2132190145 3411504232 4264380290 6823008464 8528760580 17057521160 34115042320