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404422434 = 232132118191
BaseRepresentation
bin11000000110101…
…111111100100010
31001011222210021200
4120012233330202
51312013004214
6104044102030
713010351103
oct3006577442
91034883250
10404422434
11198316619
12b3534916
1365a2c520
143b9d63aa
1525788d09
hex181aff22

404422434 has 48 divisors (see below), whose sum is σ = 948240384. Its totient is φ = 123832800.

The previous prime is 404422427. The next prime is 404422463. The reversal of 404422434 is 434224404.

It is a happy number.

404422434 is a `hidden beast` number, since 404 + 4 + 224 + 34 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 404422398 and 404422407.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45279 + ... + 53469.

It is an arithmetic number, because the mean of its divisors is an integer number (19755008).

Almost surely, 2404422434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404422434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474120192).

404422434 is an abundant number, since it is smaller than the sum of its proper divisors (543817950).

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

404422434 is a wasteful number, since it uses less digits than its factorization.

404422434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8423 (or 8420 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 404422434 is about 20110.2569352060. The cubic root of 404422434 is about 739.5117512159.

Adding to 404422434 its reverse (434224404), we get a palindrome (838646838).

The spelling of 404422434 in words is "four hundred four million, four hundred twenty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 211 234 422 633 1266 1899 2743 3798 5486 8191 8229 16382 16458 24573 24687 49146 49374 73719 106483 147438 212966 319449 638898 958347 1728301 1916694 3456602 5184903 10369806 15554709 22467913 31109418 44935826 67403739 134807478 202211217 404422434