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434404434 = 2317101149283
BaseRepresentation
bin11001111001000…
…111110001010010
31010021102000212010
4121321013301102
51342201420214
6111034443350
713523243142
oct3171076122
91107360763
10434404434
11203234532
12101593556
136bcc9259
144199c922
152820c659
hex19e47c52

434404434 has 64 divisors (see below), whose sum is σ = 938563200. Its totient is φ = 133555200.

The previous prime is 434404393. The next prime is 434404441.

434404434 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1534857 + ... + 1535139.

It is an arithmetic number, because the mean of its divisors is an integer number (14665050).

Almost surely, 2434404434 is an apocalyptic number.

434404434 is an abundant number, since it is smaller than the sum of its proper divisors (504158766).

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

434404434 is a wasteful number, since it uses less digits than its factorization.

434404434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555.

The product of its (nonzero) digits is 36864, while the sum is 30.

The square root of 434404434 is about 20842.3711223076. The cubic root of 434404434 is about 757.3525345505.

It can be divided in two parts, 43440 and 4434, that added together give a palindrome (47874).

The spelling of 434404434 in words is "four hundred thirty-four million, four hundred four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 17 34 51 101 102 149 202 283 298 303 447 566 606 849 894 1698 1717 2533 3434 4811 5066 5151 7599 9622 10302 14433 15049 15198 28583 28866 30098 42167 45147 57166 84334 85749 90294 126501 171498 253002 255833 485911 511666 716839 767499 971822 1433678 1457733 1534998 2150517 2915466 4258867 4301034 8517734 12776601 25553202 72400739 144801478 217202217 434404434