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412345441 is a prime number
BaseRepresentation
bin11000100100111…
…110010001100001
31001201220022121101
4120210332101201
51321030023231
6104525554401
713134610204
oct3044762141
91051808541
10412345441
111a1838262
12b6115a01
13675748b1
143ca9993b
1526301661
hex1893e461

412345441 has 2 divisors, whose sum is σ = 412345442. Its totient is φ = 412345440.

The previous prime is 412345399. The next prime is 412345463. The reversal of 412345441 is 144543214.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 412252416 + 93025 = 20304^2 + 305^2 .

It is a cyclic number.

It is not a de Polignac number, because 412345441 - 213 = 412337249 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (412345471) 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 as a sum of consecutive naturals, namely, 206172720 + 206172721.

It is an arithmetic number, because the mean of its divisors is an integer number (206172721).

Almost surely, 2412345441 is an apocalyptic number.

It is an amenable number.

412345441 is a deficient number, since it is larger than the sum of its proper divisors (1).

412345441 is an equidigital number, since it uses as much as digits as its factorization.

412345441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7680, while the sum is 28.

The square root of 412345441 is about 20306.2906755518. The cubic root of 412345441 is about 744.3097918130.

Adding to 412345441 its reverse (144543214), we get a palindrome (556888655).

The spelling of 412345441 in words is "four hundred twelve million, three hundred forty-five thousand, four hundred forty-one".