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404735441 = 1123344921
BaseRepresentation
bin11000000111111…
…100010111010001
31001012120200122112
4120013330113101
51312103013231
6104054515105
713013123465
oct3007742721
91035520575
10404735441
1119850a800
12b3665a95
1365b0bb36
143ba784a5
15257eb92b
hex181fc5d1

404735441 has 6 divisors (see below), whose sum is σ = 444874626. Its totient is φ = 367941200.

The previous prime is 404735431. The next prime is 404735447. The reversal of 404735441 is 144537404.

It can be written as a sum of positive squares in only one way, i.e., 387263041 + 17472400 = 19679^2 + 4180^2 .

It is a de Polignac number, because none of the positive numbers 2k-404735441 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 404735398 and 404735407.

It is not an unprimeable number, because it can be changed into a prime (404735447) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1672340 + ... + 1672581.

It is an arithmetic number, because the mean of its divisors is an integer number (74145771).

Almost surely, 2404735441 is an apocalyptic number.

It is an amenable number.

404735441 is a deficient number, since it is larger than the sum of its proper divisors (40139185).

404735441 is a wasteful number, since it uses less digits than its factorization.

404735441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3344943 (or 3344932 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 32.

The square root of 404735441 is about 20118.0377025196. The cubic root of 404735441 is about 739.7024863187.

The spelling of 404735441 in words is "four hundred four million, seven hundred thirty-five thousand, four hundred forty-one".

Divisors: 1 11 121 3344921 36794131 404735441