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34305345 = 3252293329
BaseRepresentation
bin1000001011011…
…1010101000001
32101112220002100
42002313111001
532240232340
63223141013
7564406404
oct202672501
971486070
1034305345
1118401128
12b5a4769
137151829
1447add3b
153029830
hex20b7541

34305345 has 24 divisors (see below), whose sum is σ = 59740200. Its totient is φ = 18210816.

The previous prime is 34305287. The next prime is 34305361. The reversal of 34305345 is 54350343.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8661249 + 25644096 = 2943^2 + 5064^2 .

It is not a de Polignac number, because 34305345 - 26 = 34305281 is a prime.

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, 8641 + ... + 11969.

It is an arithmetic number, because the mean of its divisors is an integer number (2489175).

Almost surely, 234305345 is an apocalyptic number.

It is an amenable number.

34305345 is a deficient number, since it is larger than the sum of its proper divisors (25434855).

34305345 is a wasteful number, since it uses less digits than its factorization.

34305345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3569 (or 3566 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

The square root of 34305345 is about 5857.0764891710. The cubic root of 34305345 is about 324.9280945459.

Adding to 34305345 its reverse (54350343), we get a palindrome (88655688).

The spelling of 34305345 in words is "thirty-four million, three hundred five thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 229 687 1145 2061 3329 3435 9987 10305 16645 29961 49935 149805 762341 2287023 3811705 6861069 11435115 34305345