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434354641 = 71771101509
BaseRepresentation
bin11001111000111…
…011100111010001
31010021022111112221
4121320323213101
51342143322031
6111033421041
713522645030
oct3170734721
91107274487
10434354641
11203200086
1210156a781
136bcac6a6
1441988717
15281eca11
hex19e3b9d1

434354641 has 32 divisors (see below), whose sum is σ = 539343360. Its totient is φ = 341376000.

The previous prime is 434354633. The next prime is 434354647. The reversal of 434354641 is 146453434.

It is not a de Polignac number, because 434354641 - 23 = 434354633 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 434354597 and 434354606.

It is not an unprimeable number, because it can be changed into a prime (434354647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 853095 + ... + 853603.

It is an arithmetic number, because the mean of its divisors is an integer number (16854480).

Almost surely, 2434354641 is an apocalyptic number.

It is an amenable number.

434354641 is a deficient number, since it is larger than the sum of its proper divisors (104988719).

434354641 is a wasteful number, since it uses less digits than its factorization.

434354641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705.

The product of its digits is 69120, while the sum is 34.

The square root of 434354641 is about 20841.1765742724. The cubic root of 434354641 is about 757.3235966202.

The spelling of 434354641 in words is "four hundred thirty-four million, three hundred fifty-four thousand, six hundred forty-one".

Divisors: 1 7 17 71 101 119 497 509 707 1207 1717 3563 7171 8449 8653 12019 36139 50197 51409 60571 121907 252973 359863 614363 853349 873953 3650039 4300541 6117671 25550273 62050663 434354641