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349859356 = 227118912763
BaseRepresentation
bin10100110110100…
…110111000011100
3220101022200210221
4110312212320130
51204030444411
654414411124
711445520060
oct2466467034
9811280727
10349859356
1116a539570
1299200aa4
1357637192
1434671aa0
1520aac071
hex14da6e1c

349859356 has 48 divisors (see below), whose sum is σ = 771966720. Its totient is φ = 134766720.

The previous prime is 349859347. The next prime is 349859357. The reversal of 349859356 is 653958943.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349859357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21031 + ... + 33793.

It is an arithmetic number, because the mean of its divisors is an integer number (16082640).

Almost surely, 2349859356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349859356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385983360).

349859356 is an abundant number, since it is smaller than the sum of its proper divisors (422107364).

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

349859356 is a wasteful number, since it uses less digits than its factorization.

349859356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12874 (or 12872 counting only the distinct ones).

The product of its digits is 3499200, while the sum is 52.

The square root of 349859356 is about 18704.5276871671. The cubic root of 349859356 is about 704.6354643422.

The spelling of 349859356 in words is "three hundred forty-nine million, eight hundred fifty-nine thousand, three hundred fifty-six".

Divisors: 1 2 4 7 11 14 22 28 44 77 89 154 178 308 356 623 979 1246 1958 2492 3916 6853 12763 13706 25526 27412 51052 89341 140393 178682 280786 357364 561572 982751 1135907 1965502 2271814 3931004 4543628 7951349 12494977 15902698 24989954 31805396 49979908 87464839 174929678 349859356