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349112106 = 2347307859
BaseRepresentation
bin10100110011110…
…000011100101010
3220022220201210000
4110303300130222
51203333041411
654350403430
711436255360
oct2463603452
9808821700
10349112106
1116a079102
1298b00576
1357435015
1434519630
15209b0956
hex14cf072a

349112106 has 40 divisors (see below), whose sum is σ = 894025440. Its totient is φ = 99745992.

The previous prime is 349112083. The next prime is 349112107. The reversal of 349112106 is 601211943.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 349112106.

It is not an unprimeable number, because it can be changed into a prime (349112107) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 152796 + ... + 155063.

It is an arithmetic number, because the mean of its divisors is an integer number (22350636).

Almost surely, 2349112106 is an apocalyptic number.

349112106 is an abundant number, since it is smaller than the sum of its proper divisors (544913334).

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

349112106 is a wasteful number, since it uses less digits than its factorization.

349112106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307880 (or 307871 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 349112106 is about 18684.5418996560. The cubic root of 349112106 is about 704.1334395924.

The spelling of 349112106 in words is "three hundred forty-nine million, one hundred twelve thousand, one hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 1134 307859 615718 923577 1847154 2155013 2770731 4310026 5541462 6465039 8312193 12930078 16624386 19395117 24936579 38790234 49873158 58185351 116370702 174556053 349112106