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346138349058 = 2336409969427
BaseRepresentation
bin1010000100101110111…
…01000000111000000010
31020002102222101000011000
411002113131000320002
521132342404132213
6423002550032430
734002426264465
oct5022735007002
91202388330130
10346138349058
1112388408a897
1257101048716
1326843829978
1412a78a532dc
15900d00ac73
hex5097740e02

346138349058 has 16 divisors (see below), whose sum is σ = 769196331360. Its totient is φ = 115379449668.

The previous prime is 346138349057. The next prime is 346138349087. The reversal of 346138349058 is 850943831643.

346138349058 is a `hidden beast` number, since 346 + 138 + 34 + 90 + 58 = 666.

It is a super-3 number, since 3×3461383490583 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54), and also a Moran number because the ratio is a prime number: 6409969427 = 346138349058 / (3 + 4 + 6 + 1 + 3 + 8 + 3 + 4 + 9 + 0 + 5 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 346138348995 and 346138349013.

It is not an unprimeable number, because it can be changed into a prime (346138349057) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3204984660 + ... + 3204984767.

It is an arithmetic number, because the mean of its divisors is an integer number (48074770710).

Almost surely, 2346138349058 is an apocalyptic number.

346138349058 is an abundant number, since it is smaller than the sum of its proper divisors (423057982302).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

346138349058 is a wasteful number, since it uses less digits than its factorization.

346138349058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6409969438 (or 6409969432 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 346138349058 in words is "three hundred forty-six billion, one hundred thirty-eight million, three hundred forty-nine thousand, fifty-eight".

Divisors: 1 2 3 6 9 18 27 54 6409969427 12819938854 19229908281 38459816562 57689724843 115379449686 173069174529 346138349058