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404006361 = 31112242617
BaseRepresentation
bin11000000101001…
…010010111011001
31001011012122112120
4120011022113121
51311411200421
6104031131453
713003666053
oct3005122731
91034178476
10404006361
11198061a60
12b3373b89
1365915025
143b9288d3
15257058c6
hex1814a5d9

404006361 has 8 divisors (see below), whose sum is σ = 587645664. Its totient is φ = 244852320.

The previous prime is 404006341. The next prime is 404006387. The reversal of 404006361 is 163600404.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 404006361 - 211 = 404004313 is a prime.

It is a super-2 number, since 2×4040063612 = 326442279456924642, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (404006311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6121276 + ... + 6121341.

It is an arithmetic number, because the mean of its divisors is an integer number (73455708).

Almost surely, 2404006361 is an apocalyptic number.

It is an amenable number.

404006361 is a deficient number, since it is larger than the sum of its proper divisors (183639303).

404006361 is a wasteful number, since it uses less digits than its factorization.

404006361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12242631.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 404006361 is about 20099.9094774081. The cubic root of 404006361 is about 739.2580590156.

Adding to 404006361 its reverse (163600404), we get a palindrome (567606765).

The spelling of 404006361 in words is "four hundred four million, six thousand, three hundred sixty-one".

Divisors: 1 3 11 33 12242617 36727851 134668787 404006361