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404311201 = 728251249
BaseRepresentation
bin11000000110010…
…100110010100001
31001011210010200221
4120012110302201
51312000424301
6104041443041
713006405600
oct3006246241
91034703627
10404311201
1119824aa98
12b34a0481
13659c09c8
143b9a7a37
1525765da1
hex18194ca1

404311201 has 6 divisors (see below), whose sum is σ = 470321250. Its totient is φ = 346552416.

The previous prime is 404311199. The next prime is 404311211. The reversal of 404311201 is 102113404.

It can be written as a sum of positive squares in only one way, i.e., 317374225 + 86936976 = 17815^2 + 9324^2 .

It is not a de Polignac number, because 404311201 - 21 = 404311199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (404311211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4125576 + ... + 4125673.

It is an arithmetic number, because the mean of its divisors is an integer number (78386875).

Almost surely, 2404311201 is an apocalyptic number.

It is an amenable number.

404311201 is a deficient number, since it is larger than the sum of its proper divisors (66010049).

404311201 is an equidigital number, since it uses as much as digits as its factorization.

404311201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8251263 (or 8251256 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 404311201 is about 20107.4911662296. The cubic root of 404311201 is about 739.4439461633.

Adding to 404311201 its reverse (102113404), we get a palindrome (506424605).

The spelling of 404311201 in words is "four hundred four million, three hundred eleven thousand, two hundred one".

Divisors: 1 7 49 8251249 57758743 404311201