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434564977 = 72117271109
BaseRepresentation
bin11001111001101…
…110111101110001
31010021201012002011
4121321232331301
51342222034402
6111042122521
713524512200
oct3171567561
91107635064
10434564977
11203334110
12101650441
136c054352
1441a01237
152823eed7
hex19e6ef71

434564977 has 24 divisors (see below), whose sum is σ = 552726720. Its totient is φ = 337851360.

The previous prime is 434564969. The next prime is 434564987. The reversal of 434564977 is 779465434.

It is not a de Polignac number, because 434564977 - 23 = 434564969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 434564977.

It is not an unprimeable number, because it can be changed into a prime (434564957) 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 23 ways as a sum of consecutive naturals, for example, 391299 + ... + 392407.

It is an arithmetic number, because the mean of its divisors is an integer number (23030280).

Almost surely, 2434564977 is an apocalyptic number.

It is an amenable number.

434564977 is a deficient number, since it is larger than the sum of its proper divisors (118161743).

434564977 is a wasteful number, since it uses less digits than its factorization.

434564977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1861 (or 1854 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 49.

The square root of 434564977 is about 20846.2221277621. Note that the first 3 decimals coincide. The cubic root of 434564977 is about 757.4458214073.

The spelling of 434564977 in words is "four hundred thirty-four million, five hundred sixty-four thousand, nine hundred seventy-seven".

Divisors: 1 7 11 49 77 539 727 1109 5089 7763 7997 12199 35623 54341 55979 85393 391853 597751 806243 5643701 8868673 39505907 62080711 434564977