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434013310434 = 231115143549399
BaseRepresentation
bin1100101000011010011…
…01011000110111100010
31112111021010121120022010
412110031031120313202
524102324401413214
6531214415253350
743233153161244
oct6241515306742
91474233546263
10434013310434
11158078220a10
127014621a256
1331c09305432
1417013628094
15b452a26659
hex650d358de2

434013310434 has 32 divisors (see below), whose sum is σ = 953209267200. Its totient is φ = 130648194000.

The previous prime is 434013310411. The next prime is 434013310453.

434013310434 is nontrivially palindromic in base 10.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 21764734 + ... + 21784665.

It is an arithmetic number, because the mean of its divisors is an integer number (29787789600).

Almost surely, 2434013310434 is an apocalyptic number.

434013310434 is an abundant number, since it is smaller than the sum of its proper divisors (519195956766).

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

434013310434 is a wasteful number, since it uses less digits than its factorization.

434013310434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43549566.

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 434013 and 310434, that added together give a palindrome (744447).

The spelling of 434013310434 in words is "four hundred thirty-four billion, thirteen million, three hundred ten thousand, four hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 66 151 302 453 906 1661 3322 4983 9966 43549399 87098798 130648197 261296394 479043389 958086778 1437130167 2874260334 6575959249 13151918498 19727877747 39455755494 72335551739 144671103478 217006655217 434013310434