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404300241 = 356072741
BaseRepresentation
bin11000000110010…
…010000111010001
31001011202120200000
4120012102013101
51312000101431
6104041320213
713006331622
oct3006220721
91034676600
10404300241
11198242834
12b3496069
13659b8a17
143b9a3a49
15257629e6
hex181921d1

404300241 has 24 divisors (see below), whose sum is σ = 606837504. Its totient is φ = 268991280.

The previous prime is 404300219. The next prime is 404300257. The reversal of 404300241 is 142003404.

It is not a de Polignac number, because 404300241 - 25 = 404300209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (404300201) 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 23 ways as a sum of consecutive naturals, for example, 146131 + ... + 148871.

It is an arithmetic number, because the mean of its divisors is an integer number (25284896).

Almost surely, 2404300241 is an apocalyptic number.

It is an amenable number.

404300241 is a deficient number, since it is larger than the sum of its proper divisors (202537263).

404300241 is an equidigital number, since it uses as much as digits as its factorization.

404300241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3363 (or 3351 counting only the distinct ones).

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

The square root of 404300241 is about 20107.2186291391. The cubic root of 404300241 is about 739.4372645289.

Adding to 404300241 its reverse (142003404), we get a palindrome (546303645).

The spelling of 404300241 in words is "four hundred four million, three hundred thousand, two hundred forty-one".

Divisors: 1 3 9 27 81 243 607 1821 2741 5463 8223 16389 24669 49167 74007 147501 222021 666063 1663787 4991361 14974083 44922249 134766747 404300241