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349802118 = 233291391607
BaseRepresentation
bin10100110110011…
…000111010000110
3220101012210022000
4110312120322012
51204022131433
654413250130
711445161151
oct2466307206
9811183260
10349802118
1116a4aa566
1299193946
1357617103
1434658c98
1520a9a113
hex14d98e86

349802118 has 64 divisors (see below), whose sum is σ = 810432000. Its totient is φ = 111700512.

The previous prime is 349802113. The next prime is 349802137. The reversal of 349802118 is 811208943.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349802113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216871 + ... + 218477.

It is an arithmetic number, because the mean of its divisors is an integer number (12663000).

Almost surely, 2349802118 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349802118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405216000).

349802118 is an abundant number, since it is smaller than the sum of its proper divisors (460629882).

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

349802118 is a wasteful number, since it uses less digits than its factorization.

349802118 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1786 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 349802118 is about 18702.9975672350. The cubic root of 349802118 is about 704.5970354481.

The spelling of 349802118 in words is "three hundred forty-nine million, eight hundred two thousand, one hundred eighteen".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 139 174 261 278 417 522 783 834 1251 1566 1607 2502 3214 3753 4031 4821 7506 8062 9642 12093 14463 24186 28926 36279 43389 46603 72558 86778 93206 108837 139809 217674 223373 279618 419427 446746 670119 838854 1258281 1340238 2010357 2516562 4020714 6031071 6477817 12062142 12955634 19433451 38866902 58300353 116600706 174901059 349802118