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349611327 = 321329167617
BaseRepresentation
bin10100110101101…
…010010100111111
3220100212002120200
4110311222110333
51204000030302
654405214543
711443435002
oct2465522477
9810762520
10349611327
1116a38a18a
1299101453
135757b310
1434609539
1520a5d81c
hex14d6a53f

349611327 has 48 divisors (see below), whose sum is σ = 566879040. Its totient is φ = 206148096.

The previous prime is 349611289. The next prime is 349611329. The reversal of 349611327 is 723116943.

349611327 is a `hidden beast` number, since 3 + 4 + 9 + 611 + 32 + 7 = 666.

It is not a de Polignac number, because 349611327 - 26 = 349611263 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 349611291 and 349611300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349611329) 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 47 ways as a sum of consecutive naturals, for example, 566323 + ... + 566939.

It is an arithmetic number, because the mean of its divisors is an integer number (11809980).

Almost surely, 2349611327 is an apocalyptic number.

349611327 is a deficient number, since it is larger than the sum of its proper divisors (217267713).

349611327 is a wasteful number, since it uses less digits than its factorization.

349611327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 829 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 349611327 is about 18697.8963255228. The cubic root of 349611327 is about 704.4689104177.

The spelling of 349611327 in words is "three hundred forty-nine million, six hundred eleven thousand, three hundred twenty-seven".

Divisors: 1 3 9 13 29 39 87 117 167 261 377 501 617 1131 1503 1851 2171 3393 4843 5553 6513 8021 14529 17893 19539 24063 43587 53679 62959 72189 103039 161037 188877 232609 309117 566631 697827 927351 1339507 2093481 2988131 4018521 8964393 12055563 26893179 38845703 116537109 349611327