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404111323 = 71121925111
BaseRepresentation
bin11000000101100…
…011111111011011
31001011101222112001
4120011203333123
51311423030243
6104033301431
713004614060
oct3005437733
91034358461
10404111323
11198123900
12b3404877
1365950a35
143b954c67
1525726a4d
hex18163fdb

404111323 has 24 divisors (see below), whose sum is σ = 534383360. Its totient is φ = 298306800.

The previous prime is 404111303. The next prime is 404111347. The reversal of 404111323 is 323111404.

It is a de Polignac number, because none of the positive numbers 2k-404111323 is a prime.

It is a super-2 number, since 2×4041113232 = 326611922753620658, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 404111323.

It is not an unprimeable number, because it can be changed into a prime (404111303) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3538 + ... + 28648.

Almost surely, 2404111323 is an apocalyptic number.

404111323 is a deficient number, since it is larger than the sum of its proper divisors (130272037).

404111323 is a wasteful number, since it uses less digits than its factorization.

404111323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25159 (or 25148 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 404111323 is about 20102.5203146272. The cubic root of 404111323 is about 739.3220739199.

Adding to 404111323 its reverse (323111404), we get a palindrome (727222727).

The spelling of 404111323 in words is "four hundred four million, one hundred eleven thousand, three hundred twenty-three".

Divisors: 1 7 11 19 77 121 133 209 847 1463 2299 16093 25111 175777 276221 477109 1933547 3038431 3339763 5248199 21269017 36737393 57730189 404111323