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349146 = 232717163
BaseRepresentation
bin1010101001111011010
3122201221100
41111033122
542133041
611252230
72652630
oct1251732
9581840
10349146
11219356
1214a076
13c2bc5
1491350
156d6b6
hex553da

349146 has 48 divisors (see below), whose sum is σ = 921024. Its totient is φ = 93312.

The previous prime is 349133. The next prime is 349171. The reversal of 349146 is 641943.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2061 + ... + 2223.

It is an arithmetic number, because the mean of its divisors is an integer number (19188).

2349146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460512).

349146 is an abundant number, since it is smaller than the sum of its proper divisors (571878).

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

349146 is a wasteful number, since it uses less digits than its factorization.

349146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 192 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 349146 is about 590.8857757638. The cubic root of 349146 is about 70.4156226090.

It can be divided in two parts, 34 and 9146, that added together give a triangular number (9180 = T135).

The spelling of 349146 in words is "three hundred forty-nine thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 163 238 306 326 357 489 714 978 1071 1141 1467 2142 2282 2771 2934 3423 5542 6846 8313 10269 16626 19397 20538 24939 38794 49878 58191 116382 174573 349146