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346320254441 = 71723314081703
BaseRepresentation
bin1010000101000100100…
…10111011010111101001
31020002220122122202102102
411002202102323113221
521133230441120231
6423033004543145
734010065410050
oct5024222732751
91202818582372
10346320254441
11123967834017
1257151b51ab5
1326872419ba5
1412a94c85397
15901de8dacb
hex50a24bb5e9

346320254441 has 32 divisors (see below), whose sum is σ = 451403808768. Its totient is φ = 258616638720.

The previous prime is 346320254429. The next prime is 346320254443. The reversal of 346320254441 is 144452023643.

It is a cyclic number.

It is not a de Polignac number, because 346320254441 - 222 = 346316060137 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 346320254395 and 346320254404.

It is not an unprimeable number, because it can be changed into a prime (346320254443) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1956005 + ... + 2125698.

It is an arithmetic number, because the mean of its divisors is an integer number (14106369024).

Almost surely, 2346320254441 is an apocalyptic number.

346320254441 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

346320254441 is a deficient number, since it is larger than the sum of its proper divisors (105083554327).

346320254441 is a wasteful number, since it uses less digits than its factorization.

346320254441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4081781.

The product of its (nonzero) digits is 276480, while the sum is 38.

The spelling of 346320254441 in words is "three hundred forty-six billion, three hundred twenty million, two hundred fifty-four thousand, four hundred forty-one".

Divisors: 1 7 17 23 31 119 161 217 391 527 713 2737 3689 4991 12121 84847 4081703 28571921 69388951 93879169 126532793 485722657 657154183 885729551 1595945873 2151057481 2910254239 11171621111 15057402367 20371779673 49474322063 346320254441