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346903309643 = 11389223736241
BaseRepresentation
bin1010000110001010000…
…11000110110101001011
31020011102021210000210112
411003011003012311023
521140424221402033
6423210513504535
734030405323332
oct5030503066513
91204367700715
10346903309643
11124136969020
125729527214b
1326936161b77
1412b0c49ad19
159055260c48
hex50c50c6d4b

346903309643 has 16 divisors (see below), whose sum is σ = 379592909280. Its totient is φ = 314406643200.

The previous prime is 346903309573. The next prime is 346903309657.

It is a happy number.

346903309643 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 346903309643 - 28 = 346903309387 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 346903309591 and 346903309600.

It is not an unprimeable number, because it can be changed into a prime (346903309673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9554003 + ... + 9590243.

It is an arithmetic number, because the mean of its divisors is an integer number (23724556830).

Almost surely, 2346903309643 is an apocalyptic number.

346903309643 is a deficient number, since it is larger than the sum of its proper divisors (32689599637).

346903309643 is a wasteful number, since it uses less digits than its factorization.

346903309643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38878.

The product of its (nonzero) digits is 3779136, while the sum is 50.

The spelling of 346903309643 in words is "three hundred forty-six billion, nine hundred three million, three hundred nine thousand, six hundred forty-three".

Divisors: 1 11 389 2237 4279 24607 36241 398651 870193 9572123 14097749 81071117 155075239 891782287 31536664513 346903309643