Search a number
-
+
434404014 = 231167193509
BaseRepresentation
bin11001111001000…
…111101010101110
31010021102000021120
4121321013222232
51342201412024
6111034441410
713523242002
oct3171075256
91107360246
10434404014
11203234190
12101593266
136bcc8cc5
144199c702
152820c479
hex19e47aae

434404014 has 64 divisors (see below), whose sum is σ = 968820480. Its totient is φ = 128747520.

The previous prime is 434404007. The next prime is 434404027. The reversal of 434404014 is 410404434.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 853192 + ... + 853700.

It is an arithmetic number, because the mean of its divisors is an integer number (15137820).

Almost surely, 2434404014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434404014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484410240).

434404014 is an abundant number, since it is smaller than the sum of its proper divisors (534416466).

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

434404014 is a wasteful number, since it uses less digits than its factorization.

434404014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785.

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 434404014 is about 20842.3610466761. The cubic root of 434404014 is about 757.3522904706.

Adding to 434404014 its reverse (410404434), we get a palindrome (844808448).

The spelling of 434404014 in words is "four hundred thirty-four million, four hundred four thousand, fourteen".

Divisors: 1 2 3 6 11 22 33 66 67 134 193 201 386 402 509 579 737 1018 1158 1474 1527 2123 2211 3054 4246 4422 5599 6369 11198 12738 12931 16797 25862 33594 34103 38793 68206 77586 98237 102309 142241 196474 204618 284482 294711 375133 426723 589422 750266 853446 1080607 1125399 2161214 2250798 3241821 6483642 6581879 13163758 19745637 39491274 72400669 144801338 217202007 434404014