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434244042 = 23291926251
BaseRepresentation
bin11001111000100…
…000100111001010
31010021002212211200
4121320200213022
51342131302132
6111031205030
713522004421
oct3170404712
91107085750
10434244042
11203134a81
12101516776
136bc7124b
144195a2b8
15281c9d7c
hex19e209ca

434244042 has 24 divisors (see below), whose sum is σ = 941921760. Its totient is φ = 144585000.

The previous prime is 434244037. The next prime is 434244049. The reversal of 434244042 is 240442434.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 434243997 and 434244015.

It is not an unprimeable number, because it can be changed into a prime (434244049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3417 + ... + 29667.

It is an arithmetic number, because the mean of its divisors is an integer number (39246740).

Almost surely, 2434244042 is an apocalyptic number.

434244042 is an abundant number, since it is smaller than the sum of its proper divisors (507677718).

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

434244042 is a wasteful number, since it uses less digits than its factorization.

434244042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27178 (or 27175 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 434244042 is about 20838.5230282763. The cubic root of 434244042 is about 757.2593124810.

Adding to 434244042 its reverse (240442434), we get a palindrome (674686476).

It can be divided in two parts, 4342 and 44042, that added together give a palindrome (48384).

The spelling of 434244042 in words is "four hundred thirty-four million, two hundred forty-four thousand, forty-two".

Divisors: 1 2 3 6 9 18 919 1838 2757 5514 8271 16542 26251 52502 78753 157506 236259 472518 24124669 48249338 72374007 144748014 217122021 434244042