Search a number
-
+
434258224 = 24194134841
BaseRepresentation
bin11001111000100…
…100000100110000
31010021010121021221
4121320210010300
51342132230344
6111031354424
713522063651
oct3170440460
91107117257
10434258224
112031446a4
12101522a14
136bc7783a
1441961528
15281ce184
hex19e24130

434258224 has 40 divisors (see below), whose sum is σ = 907285680. Its totient is φ = 200678400.

The previous prime is 434258179. The next prime is 434258249. The reversal of 434258224 is 422852434.

It is a super-2 number, since 2×4342582242 = 377160410223268352, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 434258224.

It is an unprimeable number.

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, 4957 + ... + 29884.

It is an arithmetic number, because the mean of its divisors is an integer number (22682142).

Almost surely, 2434258224 is an apocalyptic number.

It is an amenable number.

434258224 is an abundant number, since it is smaller than the sum of its proper divisors (473027456).

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

434258224 is a wasteful number, since it uses less digits than its factorization.

434258224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34909 (or 34903 counting only the distinct ones).

The product of its digits is 61440, while the sum is 34.

The square root of 434258224 is about 20838.8633087316. The cubic root of 434258224 is about 757.2675561824.

The spelling of 434258224 in words is "four hundred thirty-four million, two hundred fifty-eight thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 19 38 41 76 82 152 164 304 328 656 779 1558 3116 6232 12464 34841 69682 139364 278728 557456 661979 1323958 1428481 2647916 2856962 5295832 5713924 10591664 11427848 22855696 27141139 54282278 108564556 217129112 434258224