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349064181 = 33191016737
BaseRepresentation
bin10100110011100…
…100101111110101
3220022211022001000
4110303210233311
51203330023211
654345353513
711435665554
oct2463445765
9808738030
10349064181
1116a0460a4
1298a98899
135741926b
1434505d9b
15209a1656
hex14ce4bf5

349064181 has 32 divisors (see below), whose sum is σ = 549820800. Its totient is φ = 218246400.

The previous prime is 349064161. The next prime is 349064197. The reversal of 349064181 is 181460943.

349064181 is a `hidden beast` number, since 3 + 4 + 9 + 0 + 641 + 8 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2k-349064181 is a prime.

It is a super-2 number, since 2×3490641812 = 243691604914401522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349064161) 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 31 ways as a sum of consecutive naturals, for example, 48445 + ... + 55181.

It is an arithmetic number, because the mean of its divisors is an integer number (17181900).

Almost surely, 2349064181 is an apocalyptic number.

It is an amenable number.

349064181 is a deficient number, since it is larger than the sum of its proper divisors (200756619).

349064181 is a wasteful number, since it uses less digits than its factorization.

349064181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6866 (or 6860 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 349064181 is about 18683.2593783847. The cubic root of 349064181 is about 704.1012177179.

The spelling of 349064181 in words is "three hundred forty-nine million, sixty-four thousand, one hundred eighty-one".

Divisors: 1 3 9 19 27 57 101 171 303 513 909 1919 2727 5757 6737 17271 20211 51813 60633 128003 181899 384009 680437 1152027 2041311 3456081 6123933 12928303 18371799 38784909 116354727 349064181