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404021322 = 232181269461
BaseRepresentation
bin11000000101001…
…110000001001010
31001011020102001200
4120011032001022
51311412140242
6104031325030
713004060505
oct3005160112
91034212050
10404021322
11198072221
12b3380776
136591ba93
143b93013c
152570a04c
hex1814e04a

404021322 has 48 divisors (see below), whose sum is σ = 885404520. Its totient is φ = 133142400.

The previous prime is 404021273. The next prime is 404021329. The reversal of 404021322 is 223120404.

It can be written as a sum of positive squares in 4 ways, for example, as 87216921 + 316804401 = 9339^2 + 17799^2 .

It is a super-3 number, since 3×4040213223 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 404021295 and 404021304.

It is not an unprimeable number, because it can be changed into a prime (404021329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 876172 + ... + 876632.

Almost surely, 2404021322 is an apocalyptic number.

404021322 is an abundant number, since it is smaller than the sum of its proper divisors (481383198).

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

404021322 is a wasteful number, since it uses less digits than its factorization.

404021322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 404021322 is about 20100.2816398179. The cubic root of 404021322 is about 739.2671842046.

Adding to 404021322 its reverse (223120404), we get a palindrome (627141726).

The spelling of 404021322 in words is "four hundred four million, twenty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 181 269 362 461 538 543 807 922 1086 1383 1614 1629 2421 2766 3258 4149 4842 8298 48689 83441 97378 124009 146067 166882 248018 250323 292134 372027 438201 500646 744054 750969 876402 1116081 1501938 2232162 22445629 44891258 67336887 134673774 202010661 404021322