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404411322 = 23729547607
BaseRepresentation
bin11000000110101…
…101001110111010
31001011222020001010
4120012231032322
51312012130242
6104043534350
713010303520
oct3006551672
91034866033
10404411322
11198309237
12b352a3b6
1365a27453
143b9d2310
152578589c
hex181ad3ba

404411322 has 64 divisors (see below), whose sum is σ = 959569920. Its totient is φ = 111174336.

The previous prime is 404411309. The next prime is 404411339. The reversal of 404411322 is 223114404.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 665943 + ... + 666549.

It is an arithmetic number, because the mean of its divisors is an integer number (14993280).

Almost surely, 2404411322 is an apocalyptic number.

404411322 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 404411322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479784960).

404411322 is an abundant number, since it is smaller than the sum of its proper divisors (555158598).

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

404411322 is a wasteful number, since it uses less digits than its factorization.

404411322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 404411322 is about 20109.9806563806. The cubic root of 404411322 is about 739.5049781579.

Adding to 404411322 its reverse (223114404), we get a palindrome (627525726).

The spelling of 404411322 in words is "four hundred four million, four hundred eleven thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 174 203 406 547 607 609 1094 1214 1218 1641 1821 3282 3642 3829 4249 7658 8498 11487 12747 15863 17603 22974 25494 31726 35206 47589 52809 95178 105618 111041 123221 222082 246442 332029 333123 369663 664058 666246 739326 996087 1992174 2324203 4648406 6972609 9628841 13945218 19257682 28886523 57773046 67401887 134803774 202205661 404411322