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349437168 = 24322426647
BaseRepresentation
bin10100110100111…
…111110011110000
3220100112020200100
4110310333303300
51203423442133
654401352400
711442111153
oct2464776360
9810466610
10349437168
1116a280353
1299038700
1357519c72
14345a1c9a
1520a26e13
hex14d3fcf0

349437168 has 30 divisors (see below), whose sum is σ = 977939144. Its totient is φ = 116479008.

The previous prime is 349437163. The next prime is 349437181. The reversal of 349437168 is 861734943.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349437163) 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 5 ways as a sum of consecutive naturals, for example, 1213180 + ... + 1213467.

Almost surely, 2349437168 is an apocalyptic number.

It is an amenable number.

349437168 is an abundant number, since it is smaller than the sum of its proper divisors (628501976).

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

349437168 is a wasteful number, since it uses less digits than its factorization.

349437168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2426661 (or 2426652 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 349437168 is about 18693.2385637160. The cubic root of 349437168 is about 704.3519138468.

The spelling of 349437168 in words is "three hundred forty-nine million, four hundred thirty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2426647 4853294 7279941 9706588 14559882 19413176 21839823 29119764 38826352 43679646 58239528 87359292 116479056 174718584 349437168