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349206 = 231121337
BaseRepresentation
bin1010101010000010110
3122202000120
41111100112
542133311
611252410
72653044
oct1252026
9582016
10349206
11219400
1214a106
13c2c40
1491394
156d706
hex55416

349206 has 48 divisors (see below), whose sum is σ = 849072. Its totient is φ = 95040.

The previous prime is 349199. The next prime is 349207. The reversal of 349206 is 602943.

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 349206.

It is not an unprimeable number, because it can be changed into a prime (349207) 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, 9420 + ... + 9456.

It is an arithmetic number, because the mean of its divisors is an integer number (17689).

2349206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424536).

349206 is an abundant number, since it is smaller than the sum of its proper divisors (499866).

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

349206 is a wasteful number, since it uses less digits than its factorization.

349206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 349206 is about 590.9365448168. The cubic root of 349206 is about 70.4196559698.

It can be divided in two parts, 349 and 206, that added together give a palindrome (555).

The spelling of 349206 in words is "three hundred forty-nine thousand, two hundred six".

Divisors: 1 2 3 6 11 13 22 26 33 37 39 66 74 78 111 121 143 222 242 286 363 407 429 481 726 814 858 962 1221 1443 1573 2442 2886 3146 4477 4719 5291 8954 9438 10582 13431 15873 26862 31746 58201 116402 174603 349206