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434303303434 = 271113216934717
BaseRepresentation
bin1100101000111100111…
…11100111111100001010
31112112000100021201220121
412110132133213330022
524103423121202214
6531303255013454
743243304112010
oct6243637477412
91475010251817
10434303303434
1115820698aa50
127020736a28a
1331c5440b420
141703dd548b0
15b46d20a424
hex651e7e7f0a

434303303434 has 32 divisors (see below), whose sum is σ = 874680782976. Its totient is φ = 156192995520.

The previous prime is 434303303393. The next prime is 434303303453.

434303303434 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 434303303434.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108465357 + ... + 108469360.

It is an arithmetic number, because the mean of its divisors is an integer number (27333774468).

Almost surely, 2434303303434 is an apocalyptic number.

434303303434 is an abundant number, since it is smaller than the sum of its proper divisors (440377479542).

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

434303303434 is a wasteful number, since it uses less digits than its factorization.

434303303434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216934750.

The product of its (nonzero) digits is 186624, while the sum is 34.

It can be divided in two parts, 434303 and 303434, that added together give a palindrome (737737).

The spelling of 434303303434 in words is "four hundred thirty-four billion, three hundred three million, three hundred three thousand, four hundred thirty-four".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 1001 2002 216934717 433869434 1518543019 2386281887 2820151321 3037086038 4772563774 5640302642 16703973209 19741059247 31021664531 33407946418 39482118494 62043329062 217151651717 434303303434