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405874321 is a prime number
BaseRepresentation
bin11000001100010…
…010011010010001
31001021201112220021
4120030102122101
51312400434241
6104135143441
713025606026
oct3014223221
91037645807
10405874321
11199118426
12b3b14b81
136611a328
143bc9354d
15259740d1
hex18312691

405874321 has 2 divisors, whose sum is σ = 405874322. Its totient is φ = 405874320.

The previous prime is 405874283. The next prime is 405874331. The reversal of 405874321 is 123478504.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 268140625 + 137733696 = 16375^2 + 11736^2 .

It is a cyclic number.

It is not a de Polignac number, because 405874321 - 27 = 405874193 is a prime.

It is a super-2 number, since 2×4058743212 = 329467928894422082, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (405874331) 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 as a sum of consecutive naturals, namely, 202937160 + 202937161.

It is an arithmetic number, because the mean of its divisors is an integer number (202937161).

Almost surely, 2405874321 is an apocalyptic number.

It is an amenable number.

405874321 is a deficient number, since it is larger than the sum of its proper divisors (1).

405874321 is an equidigital number, since it uses as much as digits as its factorization.

405874321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 405874321 is about 20146.3227662023. The cubic root of 405874321 is about 740.3956497578.

The spelling of 405874321 in words is "four hundred five million, eight hundred seventy-four thousand, three hundred twenty-one".