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404320434 = 23741713307
BaseRepresentation
bin11000000110010…
…111000010110010
31001011210121100220
4120012113002302
51312001223214
6104041553510
713006444530
oct3006270262
91034717326
10404320434
11198256a21
12b34a5896
13659c4c7b
143b9ab150
15257689a9
hex181970b2

404320434 has 64 divisors (see below), whose sum is σ = 960325632. Its totient is φ = 111081600.

The previous prime is 404320429. The next prime is 404320447. The reversal of 404320434 is 434023404.

It is a happy number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120609 + ... + 123915.

It is an arithmetic number, because the mean of its divisors is an integer number (15005088).

Almost surely, 2404320434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404320434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480162816).

404320434 is an abundant number, since it is smaller than the sum of its proper divisors (556005198).

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

404320434 is a wasteful number, since it uses less digits than its factorization.

404320434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3431.

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 404320434 is about 20107.7207559683. The cubic root of 404320434 is about 739.4495748589.

Adding to 404320434 its reverse (434023404), we get a palindrome (838343838).

The spelling of 404320434 in words is "four hundred four million, three hundred twenty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 41 42 71 82 123 142 213 246 287 426 497 574 861 994 1491 1722 2911 2982 3307 5822 6614 8733 9921 17466 19842 20377 23149 40754 46298 61131 69447 122262 135587 138894 234797 271174 406761 469594 704391 813522 949109 1408782 1643579 1898218 2847327 3287158 4930737 5694654 9626677 9861474 19253354 28880031 57760062 67386739 134773478 202160217 404320434