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434806857 = 3248311873
BaseRepresentation
bin11001111010101…
…010000001001001
31010022011110212200
4121322222001021
51342302304412
6111051230413
713526540322
oct3172520111
91108143780
10434806857
11203489911
12101748409
136c10a484
1441a65449
152828b9dc
hex19eaa049

434806857 has 6 divisors (see below), whose sum is σ = 628054362. Its totient is φ = 289871232.

The previous prime is 434806829. The next prime is 434806877. The reversal of 434806857 is 758608434.

It can be written as a sum of positive squares in only one way, i.e., 285576201 + 149230656 = 16899^2 + 12216^2 .

It is not a de Polignac number, because 434806857 - 224 = 418029641 is a prime.

It is not an unprimeable number, because it can be changed into a prime (434806817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24155928 + ... + 24155945.

It is an arithmetic number, because the mean of its divisors is an integer number (104675727).

Almost surely, 2434806857 is an apocalyptic number.

It is an amenable number.

434806857 is a deficient number, since it is larger than the sum of its proper divisors (193247505).

434806857 is a wasteful number, since it uses less digits than its factorization.

434806857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48311879 (or 48311876 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 434806857 is about 20852.0228515125. The cubic root of 434806857 is about 757.5863274486.

The spelling of 434806857 in words is "four hundred thirty-four million, eight hundred six thousand, eight hundred fifty-seven".

Divisors: 1 3 9 48311873 144935619 434806857