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349605 = 32517457
BaseRepresentation
bin1010101010110100101
3122202120100
41111112211
542141410
611254313
72654154
oct1252645
9582510
10349605
11219733
1214a399
13c3189
149159b
156d8c0
hex555a5

349605 has 24 divisors (see below), whose sum is σ = 643032. Its totient is φ = 175104.

The previous prime is 349603. The next prime is 349637. The reversal of 349605 is 506943.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 136161 + 213444 = 369^2 + 462^2 .

It is not a de Polignac number, because 349605 - 21 = 349603 is a prime.

It is a Curzon number.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349603) 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, 537 + ... + 993.

It is an arithmetic number, because the mean of its divisors is an integer number (26793).

2349605 is an apocalyptic number.

It is an amenable number.

349605 is a deficient number, since it is larger than the sum of its proper divisors (293427).

349605 is a wasteful number, since it uses less digits than its factorization.

349605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 349605 is about 591.2740481367. The cubic root of 349605 is about 70.4464660744.

The spelling of 349605 in words is "three hundred forty-nine thousand, six hundred five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 457 765 1371 2285 4113 6855 7769 20565 23307 38845 69921 116535 349605