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434242656 = 25323740751
BaseRepresentation
bin11001111000100…
…000010001100000
31010021002210221100
4121320200101200
51342131231111
6111031154400
713522000401
oct3170402140
91107083840
10434242656
11203133a31
12101515a00
136bc70723
14419599a8
15281c9756
hex19e20460

434242656 has 72 divisors (see below), whose sum is σ = 1268283744. Its totient is φ = 140832000.

The previous prime is 434242639. The next prime is 434242657. The reversal of 434242656 is 656242434.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 434242656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434242657) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9720 + ... + 31031.

It is an arithmetic number, because the mean of its divisors is an integer number (17615052).

Almost surely, 2434242656 is an apocalyptic number.

It is an amenable number.

434242656 is an abundant number, since it is smaller than the sum of its proper divisors (834041088).

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

434242656 is a wasteful number, since it uses less digits than its factorization.

434242656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40804 (or 40793 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 434242656 is about 20838.4897725339. The cubic root of 434242656 is about 757.2585068184.

The spelling of 434242656 in words is "four hundred thirty-four million, two hundred forty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 444 592 666 888 1184 1332 1776 2664 3552 5328 10656 40751 81502 122253 163004 244506 326008 366759 489012 652016 733518 978024 1304032 1467036 1507787 1956048 2934072 3015574 3912096 4523361 5868144 6031148 9046722 11736288 12062296 13570083 18093444 24124592 27140166 36186888 48249184 54280332 72373776 108560664 144747552 217121328 434242656