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434505434 = 211229101613
BaseRepresentation
bin11001111001100…
…000011011011010
31010021121011101212
4121321200123122
51342213133214
6111040543122
713524143456
oct3171403332
91107534355
10434505434
112032a3400
12101621aa2
136c03320c
14419c7666
152822c53e
hex19e606da

434505434 has 48 divisors (see below), whose sum is σ = 749657160. Its totient is φ = 188496000.

The previous prime is 434505427. The next prime is 434505437.

434505434 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 351750025 + 82755409 = 18755^2 + 9097^2 .

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 434505434.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434505437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 708512 + ... + 709124.

Almost surely, 2434505434 is an apocalyptic number.

434505434 is a deficient number, since it is larger than the sum of its proper divisors (315151726).

434505434 is a wasteful number, since it uses less digits than its factorization.

434505434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 32.

The square root of 434505434 is about 20844.7939303798. The cubic root of 434505434 is about 757.4112253868.

It can be divided in two parts, 43450 and 5434, that added together give a palindrome (48884).

The spelling of 434505434 in words is "four hundred thirty-four million, five hundred five thousand, four hundred thirty-four".

Divisors: 1 2 11 22 29 58 101 121 202 242 319 613 638 1111 1226 2222 2929 3509 5858 6743 7018 12221 13486 17777 24442 32219 35554 61913 64438 74173 123826 148346 195547 354409 391094 681043 708818 1362086 1795477 2151017 3590954 4302034 7491473 14982946 19750247 39500494 217252717 434505434