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349661429 = 13971491861
BaseRepresentation
bin10100110101110…
…110100011110101
3220100221122022022
4110311312203311
51204003131204
654410242525
711444034035
oct2465664365
9810848268
10349661429
1116a413897
1299126445
1357598070
143461d8c5
1520a6d5be
hex14d768f5

349661429 has 16 divisors (see below), whose sum is σ = 383199600. Its totient is φ = 317122560.

The previous prime is 349661419. The next prime is 349661441. The reversal of 349661429 is 924166943.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 185232100 + 164429329 = 13610^2 + 12823^2 .

It is a cyclic number.

It is not a de Polignac number, because 349661429 - 216 = 349595893 is a prime.

It is a super-2 number, since 2×3496614292 = 244526229860644082, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 349661429.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349661419) 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 15 ways as a sum of consecutive naturals, for example, 186959 + ... + 188819.

It is an arithmetic number, because the mean of its divisors is an integer number (23949975).

Almost surely, 2349661429 is an apocalyptic number.

It is an amenable number.

349661429 is a deficient number, since it is larger than the sum of its proper divisors (33538171).

349661429 is a wasteful number, since it uses less digits than its factorization.

349661429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120.

The product of its digits is 279936, while the sum is 44.

The square root of 349661429 is about 18699.2360539141. The cubic root of 349661429 is about 704.5025607533.

The spelling of 349661429 in words is "three hundred forty-nine million, six hundred sixty-one thousand, four hundred twenty-nine".

Divisors: 1 13 97 149 1261 1861 1937 14453 24193 180517 187889 277289 2346721 3604757 26897033 349661429