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34462345041 = 3241187749757
BaseRepresentation
bin100000000110000111…
…011010011101010001
310021221201222111222200
4200012013122131101
51031034330020131
623455355353413
72330003046105
oct400607323521
9107851874880
1034462345041
11136851059a3
126819452869
133332a16557
14194cd51905
15d6a77a2e6
hex8061da751

34462345041 has 24 divisors (see below), whose sum is σ = 51021256104. Its totient is φ = 22402141440.

The previous prime is 34462345007. The next prime is 34462345061. The reversal of 34462345041 is 14054326443.

It can be written as a sum of positive squares in 4 ways, for example, as 923916816 + 33538428225 = 30396^2 + 183135^2 .

It is not a de Polignac number, because 34462345041 - 26 = 34462344977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34462344987 and 34462345005.

It is not an unprimeable number, because it can be changed into a prime (34462345061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 667735 + ... + 717491.

It is an arithmetic number, because the mean of its divisors is an integer number (2125885671).

Almost surely, 234462345041 is an apocalyptic number.

It is an amenable number.

34462345041 is a deficient number, since it is larger than the sum of its proper divisors (16558911063).

34462345041 is a wasteful number, since it uses less digits than its factorization.

34462345041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51681 (or 51678 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 34462345041 in words is "thirty-four billion, four hundred sixty-two million, three hundred forty-five thousand, forty-one".

Divisors: 1 3 9 41 123 369 1877 5631 16893 49757 76957 149271 230871 447813 692613 2040037 6120111 18360333 93393889 280181667 840545001 3829149449 11487448347 34462345041