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34375057343 = 112284091383
BaseRepresentation
bin100000000000111010…
…011011111110111111
310021201122201211202222
4200000322123332333
51030400003313333
623443000435555
72324563111034
oct400072337677
9107648654688
1034375057343
111363a907400
1267b4178bbb
13331a904023
14194150d38b
15d62c87298
hex800e9bfbf

34375057343 has 6 divisors (see below), whose sum is σ = 37784154072. Its totient is φ = 31250052020.

The previous prime is 34375057331. The next prime is 34375057351.

34375057343 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-34375057343 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34375057294 and 34375057303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34375057373) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 142045571 + ... + 142045812.

It is an arithmetic number, because the mean of its divisors is an integer number (6297359012).

Almost surely, 234375057343 is an apocalyptic number.

34375057343 is a deficient number, since it is larger than the sum of its proper divisors (3409096729).

34375057343 is a wasteful number, since it uses less digits than its factorization.

34375057343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284091405 (or 284091394 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 44.

The spelling of 34375057343 in words is "thirty-four billion, three hundred seventy-five million, fifty-seven thousand, three hundred forty-three".

Divisors: 1 11 121 284091383 3125005213 34375057343