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434330365 = 57217104281
BaseRepresentation
bin11001111000110…
…101101011111101
31010021021021020211
4121320311223331
51342142032430
6111033112421
713522514200
oct3170655375
91107237224
10434330365
11203193917
12101558711
136bca1621
144197d937
15281e572a
hex19e35afd

434330365 has 24 divisors (see below), whose sum is σ = 641959992. Its totient is φ = 280304640.

The previous prime is 434330339. The next prime is 434330411. The reversal of 434330365 is 563033434.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 70207641 + 364122724 = 8379^2 + 19082^2 .

It is not a de Polignac number, because 434330365 - 25 = 434330333 is a prime.

It is a super-2 number, since 2×4343303652 = 377285731922066450, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47976 + ... + 56305.

It is an arithmetic number, because the mean of its divisors is an integer number (26748333).

Almost surely, 2434330365 is an apocalyptic number.

It is an amenable number.

434330365 is a deficient number, since it is larger than the sum of its proper divisors (207629627).

434330365 is a wasteful number, since it uses less digits than its factorization.

434330365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104317 (or 104310 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 31.

The square root of 434330365 is about 20840.5941613957. The cubic root of 434330365 is about 757.3094874658.

Adding to 434330365 its reverse (563033434), we get a palindrome (997363799).

The spelling of 434330365 in words is "four hundred thirty-four million, three hundred thirty thousand, three hundred sixty-five".

Divisors: 1 5 7 17 35 49 85 119 245 595 833 4165 104281 521405 729967 1772777 3649835 5109769 8863885 12409439 25548845 62047195 86866073 434330365