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34052345345 = 529234843761
BaseRepresentation
bin11111101101101011…
…011000111000000001
310020220011111101010202
4133231223120320001
51024214400022340
623350551534545
72313564105524
oct375553307001
9106804441122
1034052345345
1113494730077
12672408a455
133298ab3595
141910706bbb
15d4478dc15
hex7edad8e01

34052345345 has 8 divisors (see below), whose sum is σ = 42271877160. Its totient is φ = 26302501120.

The previous prime is 34052345333. The next prime is 34052345351. The reversal of 34052345345 is 54354325043.

It can be written as a sum of positive squares in 4 ways, for example, as 23902321 + 34028443024 = 4889^2 + 184468^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 34052345345 - 222 = 34048151041 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34052345299 and 34052345308.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 117421736 + ... + 117422025.

It is an arithmetic number, because the mean of its divisors is an integer number (5283984645).

Almost surely, 234052345345 is an apocalyptic number.

It is an amenable number.

34052345345 is a deficient number, since it is larger than the sum of its proper divisors (8219531815).

34052345345 is a wasteful number, since it uses less digits than its factorization.

34052345345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234843795.

The product of its (nonzero) digits is 432000, while the sum is 38.

The spelling of 34052345345 in words is "thirty-four billion, fifty-two million, three hundred forty-five thousand, three hundred forty-five".

Divisors: 1 5 29 145 234843761 1174218805 6810469069 34052345345