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434242016 = 25131761403
BaseRepresentation
bin11001111000100…
…000000111100000
31010021002210001122
4121320200013200
51342131221031
6111031151412
713521665465
oct3170400740
91107083048
10434242016
112031334aa
12101515568
136bc70350
144195966c
15281c947b
hex19e201e0

434242016 has 48 divisors (see below), whose sum is σ = 974849904. Its totient is φ = 188626944.

The previous prime is 434241991. The next prime is 434242019. The reversal of 434242016 is 610242434.

It is a super-2 number, since 2×4342420162 = 377132256919488512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434242019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23630 + ... + 37773.

It is an arithmetic number, because the mean of its divisors is an integer number (20309373).

Almost surely, 2434242016 is an apocalyptic number.

It is an amenable number.

434242016 is an abundant number, since it is smaller than the sum of its proper divisors (540607888).

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

434242016 is a wasteful number, since it uses less digits than its factorization.

434242016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61443 (or 61435 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 434242016 is about 20838.4744163290. The cubic root of 434242016 is about 757.2581347947.

The spelling of 434242016 in words is "four hundred thirty-four million, two hundred forty-two thousand, sixteen".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 416 442 544 884 1768 3536 7072 61403 122806 245612 491224 798239 982448 1043851 1596478 1964896 2087702 3192956 4175404 6385912 8350808 12771824 13570063 16701616 25543648 27140126 33403232 54280252 108560504 217121008 434242016