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461343164 = 22475346301
BaseRepresentation
bin11011011111111…
…000100110111100
31012011002122211212
4123133320212330
51421100440124
6113440103552
714301231542
oct3337704674
91164078755
10461343164
11217463a47
1210a604bb8
137476ba29
14453b1d92
152a77e40e
hex1b7f89bc

461343164 has 24 divisors (see below), whose sum is σ = 840103488. Its totient is φ = 221499200.

The previous prime is 461343163. The next prime is 461343241.

461343164 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 461343164.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461343163) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 13187 + ... + 33114.

It is an arithmetic number, because the mean of its divisors is an integer number (35004312).

Almost surely, 2461343164 is an apocalyptic number.

It is an amenable number.

461343164 is a deficient number, since it is larger than the sum of its proper divisors (378760324).

461343164 is a wasteful number, since it uses less digits than its factorization.

461343164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46405 (or 46403 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

The square root of 461343164 is about 21478.9004374060. The cubic root of 461343164 is about 772.6948717814.

The spelling of 461343164 in words is "four hundred sixty-one million, three hundred forty-three thousand, one hundred sixty-four".

Divisors: 1 2 4 47 53 94 106 188 212 2491 4982 9964 46301 92602 185204 2176147 2453953 4352294 4907906 8704588 9815812 115335791 230671582 461343164