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34120444035 = 353197756467
BaseRepresentation
bin11111110001101111…
…001010100010000011
310021001220122010222110
4133301233022202003
51024334313202120
623401423310403
72315351663136
oct376157124203
9107056563873
1034120444035
111351a112687
126742a4b403
1332a9c37872
14191979221d
15d4a7412e0
hex7f1bca883

34120444035 has 32 divisors (see below), whose sum is σ = 56934807552. Its totient is φ = 17428976640.

The previous prime is 34120444019. The next prime is 34120444037. The reversal of 34120444035 is 53044402143.

It is not a de Polignac number, because 34120444035 - 24 = 34120444019 is a prime.

It is a super-2 number, since 2×341204440352 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34120443993 and 34120444011.

It is not an unprimeable number, because it can be changed into a prime (34120444037) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 333129 + ... + 423338.

It is an arithmetic number, because the mean of its divisors is an integer number (1779212736).

Almost surely, 234120444035 is an apocalyptic number.

34120444035 is a deficient number, since it is larger than the sum of its proper divisors (22814363517).

34120444035 is a wasteful number, since it uses less digits than its factorization.

34120444035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756603.

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 34120444035 its reverse (53044402143), we get a palindrome (87164846178).

The spelling of 34120444035 in words is "thirty-four billion, one hundred twenty million, four hundred forty-four thousand, thirty-five".

Divisors: 1 3 5 15 31 93 97 155 291 465 485 1455 3007 9021 15035 45105 756467 2269401 3782335 11347005 23450477 70351431 73377299 117252385 220131897 351757155 366886495 1100659485 2274696269 6824088807 11373481345 34120444035