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349076 = 227213137
BaseRepresentation
bin1010101001110010100
3122201211202
41111032110
542132301
611252032
72652500
oct1251624
9581752
10349076
112192a2
1214a018
13c2b70
1491300
156d66b
hex55394

349076 has 36 divisors (see below), whose sum is σ = 770868. Its totient is φ = 137088.

The previous prime is 349051. The next prime is 349079. The reversal of 349076 is 670943.

It can be written as a sum of positive squares in 2 ways, for example, as 122500 + 226576 = 350^2 + 476^2 .

It is an Ulam number.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349079) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2480 + ... + 2616.

It is an arithmetic number, because the mean of its divisors is an integer number (21413).

2349076 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 349076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385434).

349076 is an abundant number, since it is smaller than the sum of its proper divisors (421792).

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

349076 is a wasteful number, since it uses less digits than its factorization.

349076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 349076 is about 590.8265396883. The cubic root of 349076 is about 70.4109164373.

The spelling of 349076 in words is "three hundred forty-nine thousand, seventy-six".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 137 182 196 274 364 548 637 959 1274 1781 1918 2548 3562 3836 6713 7124 12467 13426 24934 26852 49868 87269 174538 349076