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349345017 = 32720872657
BaseRepresentation
bin10100110100101…
…001010011111001
3220100100120021100
4110310221103321
51203413020032
654355402013
711441245410
oct2464512371
9810316240
10349345017
1116a21809a
1298bb3309
13574b7038
143457a477
1520a0997c
hex14d294f9

349345017 has 24 divisors (see below), whose sum is σ = 577190016. Its totient is φ = 199454976.

The previous prime is 349344979. The next prime is 349345033. The reversal of 349345017 is 710543943.

It is not a de Polignac number, because 349345017 - 210 = 349343993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (349345517) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130153 + ... + 132809.

It is an arithmetic number, because the mean of its divisors is an integer number (24049584).

Almost surely, 2349345017 is an apocalyptic number.

It is an amenable number.

349345017 is a deficient number, since it is larger than the sum of its proper divisors (227844999).

349345017 is a wasteful number, since it uses less digits than its factorization.

349345017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4757 (or 4754 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 349345017 is about 18690.7735794964. The cubic root of 349345017 is about 704.2899929012.

The spelling of 349345017 in words is "three hundred forty-nine million, three hundred forty-five thousand, seventeen".

Divisors: 1 3 7 9 21 63 2087 2657 6261 7971 14609 18599 18783 23913 43827 55797 131481 167391 5545159 16635477 38816113 49906431 116448339 349345017