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34023575441 = 372634917121
BaseRepresentation
bin11111101011111101…
…101000111110010001
310020211011100201020202
4133223331220332101
51024140013403231
623344043144545
72313064422332
oct375375507621
9106734321222
1034023575441
111347a46a899
126716515155
133292b4c47b
14190a978289
15d41ea95cb
hex7ebf68f91

34023575441 has 16 divisors (see below), whose sum is σ = 35152368768. Its totient is φ = 32906361600.

The previous prime is 34023575437. The next prime is 34023575449. The reversal of 34023575441 is 14457532043.

It is a cyclic number.

It is not a de Polignac number, because 34023575441 - 22 = 34023575437 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34023575395 and 34023575404.

It is not an unprimeable number, because it can be changed into a prime (34023575449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4774361 + ... + 4781481.

It is an arithmetic number, because the mean of its divisors is an integer number (2197023048).

Almost surely, 234023575441 is an apocalyptic number.

It is an amenable number.

34023575441 is a deficient number, since it is larger than the sum of its proper divisors (1128793327).

34023575441 is a wasteful number, since it uses less digits than its factorization.

34023575441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7912.

The product of its (nonzero) digits is 201600, while the sum is 38.

The spelling of 34023575441 in words is "thirty-four billion, twenty-three million, five hundred seventy-five thousand, four hundred forty-one".

Divisors: 1 37 263 491 7121 9731 18167 129133 263477 1872823 3496411 4777921 69294451 129367207 919556093 34023575441