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34351342506 = 23213146800609
BaseRepresentation
bin11111111111011111…
…111110001110101010
310021200000010000010200
4133333133332032222
51030322420430011
623440352253030
72324154410415
oct377737761652
9107600100120
1034351342506
111362848a068
1267a8241176
133315a1ca90
14193c2d8b7c
15d60b50856
hex7ff7fe3aa

34351342506 has 24 divisors (see below), whose sum is σ = 80153133060. Its totient is φ = 10569643776.

The previous prime is 34351342463. The next prime is 34351342507. The reversal of 34351342506 is 60524315343.

It can be written as a sum of positive squares in 2 ways, for example, as 32340627225 + 2010715281 = 179835^2 + 44841^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34351342507) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73400071 + ... + 73400538.

Almost surely, 234351342506 is an apocalyptic number.

34351342506 is an abundant number, since it is smaller than the sum of its proper divisors (45801790554).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34351342506 is a wasteful number, since it uses less digits than its factorization.

34351342506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146800630 (or 146800627 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 34351342506 its reverse (60524315343), we get a palindrome (94875657849).

The spelling of 34351342506 in words is "thirty-four billion, three hundred fifty-one million, three hundred forty-two thousand, five hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 146800609 293601218 440401827 880803654 1321205481 1908407917 2642410962 3816815834 5725223751 11450447502 17175671253 34351342506