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349111384456 = 2341240136469
BaseRepresentation
bin1010001010010001010…
…10001111100110001000
31020101010011122212000011
411011020222033212020
521204440003300311
6424213552321304
734136206543252
oct5051052174610
91211104585004
10349111384456
1112506a30333a
12577b0843234
1326bc875ca03
1412c7b83acd2
159134025321
hex5148a8f988

349111384456 has 48 divisors (see below), whose sum is σ = 671209640100. Its totient is φ = 170229480960.

The previous prime is 349111384441. The next prime is 349111384477. The reversal of 349111384456 is 654483111943.

It can be written as a sum of positive squares in 6 ways, for example, as 5792732100 + 343318652356 = 76110^2 + 585934^2 .

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53963590 + ... + 53970058.

Almost surely, 2349111384456 is an apocalyptic number.

It is an amenable number.

349111384456 is a deficient number, since it is larger than the sum of its proper divisors (322098255644).

349111384456 is a wasteful number, since it uses less digits than its factorization.

349111384456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10570 (or 10525 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 49.

The spelling of 349111384456 in words is "three hundred forty-nine billion, one hundred eleven million, three hundred eighty-four thousand, four hundred fifty-six".

Divisors: 1 2 4 8 41 82 164 328 1681 3362 4013 6469 6724 8026 12938 13448 16052 25876 32104 51752 164533 265229 329066 530458 658132 1060916 1316264 2121832 6745853 10874389 13491706 21748778 25960097 26983412 43497556 51920194 53966824 86995112 103840388 207680776 1064363977 2128727954 4257455908 8514911816 43638923057 87277846114 174555692228 349111384456