Search a number
-
+
434191168 = 2661111217
BaseRepresentation
bin11001111000010…
…011101101000000
31010021000012022101
4121320103231000
51342123104133
6111030120144
713521364315
oct3170235500
91107005271
10434191168
112030a9284
121014b0054
136bc53168
1441944d0c
15281b937d
hex19e13b40

434191168 has 28 divisors (see below), whose sum is σ = 875730532. Its totient is φ = 213534720.

The previous prime is 434191151. The next prime is 434191201. The reversal of 434191168 is 861191434.

It can be written as a sum of positive squares in 2 ways, for example, as 153561664 + 280629504 = 12392^2 + 16752^2 .

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 51705 + ... + 59512.

Almost surely, 2434191168 is an apocalyptic number.

It is an amenable number.

434191168 is an abundant number, since it is smaller than the sum of its proper divisors (441539364).

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

434191168 is a wasteful number, since it uses less digits than its factorization.

434191168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111290 (or 111280 counting only the distinct ones).

The product of its digits is 20736, while the sum is 37.

The square root of 434191168 is about 20837.2543296856. The cubic root of 434191168 is about 757.2285763433.

The spelling of 434191168 in words is "four hundred thirty-four million, one hundred ninety-one thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 32 61 64 122 244 488 976 1952 3904 111217 222434 444868 889736 1779472 3558944 6784237 7117888 13568474 27136948 54273896 108547792 217095584 434191168