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349890191 = 72329137547
BaseRepresentation
bin10100110110101…
…110011010001111
3220101101021002222
4110312232122033
51204032441231
654415205555
711446006010
oct2466563217
9811337088
10349890191
1116a55a752
12992168bb
1357648221
143467d007
1520ab627b
hex14dae68f

349890191 has 32 divisors (see below), whose sum is σ = 435594240. Its totient is φ = 274450176.

The previous prime is 349890181. The next prime is 349890193. The reversal of 349890191 is 191098943.

It is not a de Polignac number, because 349890191 - 210 = 349889167 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349890193) 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, 639380 + ... + 639926.

It is an arithmetic number, because the mean of its divisors is an integer number (13612320).

Almost surely, 2349890191 is an apocalyptic number.

349890191 is a deficient number, since it is larger than the sum of its proper divisors (85704049).

349890191 is a wasteful number, since it uses less digits than its factorization.

349890191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743.

The product of its (nonzero) digits is 69984, while the sum is 44.

The square root of 349890191 is about 18705.3519346737. The cubic root of 349890191 is about 704.6561648474.

The spelling of 349890191 in words is "three hundred forty-nine million, eight hundred ninety thousand, one hundred ninety-one".

Divisors: 1 7 23 29 137 161 203 547 667 959 3151 3829 3973 4669 12581 15863 22057 27811 74939 88067 91379 111041 364849 524573 639653 1723597 2173231 2553943 12065179 15212617 49984313 349890191