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349734 = 23711757
BaseRepresentation
bin1010101011000100110
3122202202010
41111120212
542142414
611255050
72654430
oct1253046
9582663
10349734
11219840
1214a486
13c3258
1491650
156d959
hex55626

349734 has 32 divisors (see below), whose sum is σ = 873216. Its totient is φ = 90720.

The previous prime is 349729. The next prime is 349753. The reversal of 349734 is 437943.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 349734.

It is an unprimeable number.

349734 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84 + ... + 840.

It is an arithmetic number, because the mean of its divisors is an integer number (27288).

2349734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436608).

349734 is an abundant number, since it is smaller than the sum of its proper divisors (523482).

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

349734 is a wasteful number, since it uses less digits than its factorization.

349734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780.

The product of its digits is 9072, while the sum is 30.

The square root of 349734 is about 591.3831245479. The cubic root of 349734 is about 70.4551296392.

Subtracting 349734 from its reverse (437943), we obtain a square (88209 = 2972).

The spelling of 349734 in words is "three hundred forty-nine thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 757 1514 2271 4542 5299 8327 10598 15897 16654 24981 31794 49962 58289 116578 174867 349734