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349526128 = 24719164251
BaseRepresentation
bin10100110101010…
…101100001110000
3220100200202201011
4110311111201300
51203434314003
654403320304
711442631420
oct2465254160
9810622634
10349526128
1116a331176
1299080094
135754b5c3
14345c6480
1520a4346d
hex14d55870

349526128 has 40 divisors (see below), whose sum is σ = 814689920. Its totient is φ = 141912000.

The previous prime is 349526123. The next prime is 349526129. The reversal of 349526128 is 821625943.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349526123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79998 + ... + 84253.

It is an arithmetic number, because the mean of its divisors is an integer number (20367248).

Almost surely, 2349526128 is an apocalyptic number.

349526128 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

349526128 is an abundant number, since it is smaller than the sum of its proper divisors (465163792).

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

349526128 is a wasteful number, since it uses less digits than its factorization.

349526128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164285 (or 164279 counting only the distinct ones).

The product of its digits is 103680, while the sum is 40.

The square root of 349526128 is about 18695.6178822739. The cubic root of 349526128 is about 704.4116802707.

The spelling of 349526128 in words is "three hundred forty-nine million, five hundred twenty-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 532 1064 2128 164251 328502 657004 1149757 1314008 2299514 2628016 3120769 4599028 6241538 9198056 12483076 18396112 21845383 24966152 43690766 49932304 87381532 174763064 349526128