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345605 = 5132409
BaseRepresentation
bin1010100011000000101
3122120002012
41110120011
542024410
611224005
72636411
oct1243005
9576065
10345605
11216727
12148005
13c1400
148dd41
156c605
hex54605

345605 has 12 divisors (see below), whose sum is σ = 450180. Its totient is φ = 254592.

The previous prime is 345601. The next prime is 345607. The reversal of 345605 is 506543.

It can be written as a sum of positive squares in 6 ways, for example, as 16129 + 329476 = 127^2 + 574^2 .

It is not a de Polignac number, because 345605 - 22 = 345601 is a prime.

It is a d-powerful number, because it can be written as 3 + 48 + 67 + 5 + 0 + 53 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 641 + ... + 1049.

It is an arithmetic number, because the mean of its divisors is an integer number (37515).

2345605 is an apocalyptic number.

It is an amenable number.

345605 is a deficient number, since it is larger than the sum of its proper divisors (104575).

345605 is a wasteful number, since it uses less digits than its factorization.

345605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 345605 is about 587.8817908389. The cubic root of 345605 is about 70.1767641435.

The spelling of 345605 in words is "three hundred forty-five thousand, six hundred five".

Divisors: 1 5 13 65 169 409 845 2045 5317 26585 69121 345605