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345300345 = 325131734721
BaseRepresentation
bin10100100101001…
…101110101111001
3220001202002000200
4110211031311321
51201344102340
654132552413
711362001355
oct2445156571
9801662020
10345300345
11167a05295
1297782709
13566cc040
1433c06465
15204ab330
hex1494dd79

345300345 has 48 divisors (see below), whose sum is σ = 682495632. Its totient is φ = 159989760.

The previous prime is 345300313. The next prime is 345300359. The reversal of 345300345 is 543003543.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2013561 + 343286784 = 1419^2 + 18528^2 .

It is not a de Polignac number, because 345300345 - 25 = 345300313 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7416 + ... + 27305.

It is an arithmetic number, because the mean of its divisors is an integer number (14218659).

Almost surely, 2345300345 is an apocalyptic number.

It is an amenable number.

345300345 is a deficient number, since it is larger than the sum of its proper divisors (337195287).

345300345 is a wasteful number, since it uses less digits than its factorization.

345300345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34762 (or 34759 counting only the distinct ones).

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

The square root of 345300345 is about 18582.2588777576. The cubic root of 345300345 is about 701.5613752510.

Adding to 345300345 its reverse (543003543), we get a palindrome (888303888).

The spelling of 345300345 in words is "three hundred forty-five million, three hundred thousand, three hundred forty-five".

Divisors: 1 3 5 9 13 15 17 39 45 51 65 85 117 153 195 221 255 585 663 765 1105 1989 3315 9945 34721 104163 173605 312489 451373 520815 590257 1354119 1562445 1770771 2256865 2951285 4062357 5312313 6770595 7673341 8853855 20311785 23020023 26561565 38366705 69060069 115100115 345300345