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381326401 is a prime number
BaseRepresentation
bin10110101110101…
…001010001000001
3222120112101111001
4112232221101001
51240104421101
6101501052001
712310135531
oct2656512101
9876471431
10381326401
11186281195
12a7857001
1361003b31
14389034c1
1523725901
hex16ba9441

381326401 has 2 divisors, whose sum is σ = 381326402. Its totient is φ = 381326400.

The previous prime is 381326389. The next prime is 381326417. The reversal of 381326401 is 104623183.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 228161025 + 153165376 = 15105^2 + 12376^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-381326401 is a prime.

It is a super-2 number, since 2×3813264012 = 290819648199225602, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 381326401.

It is not a weakly prime, because it can be changed into another prime (381326431) 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, 190663200 + 190663201.

It is an arithmetic number, because the mean of its divisors is an integer number (190663201).

Almost surely, 2381326401 is an apocalyptic number.

It is an amenable number.

381326401 is a deficient number, since it is larger than the sum of its proper divisors (1).

381326401 is an equidigital number, since it uses as much as digits as its factorization.

381326401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 381326401 is about 19527.5805208940. The cubic root of 381326401 is about 725.1574139367.

Adding to 381326401 its reverse (104623183), we get a palindrome (485949584).

The spelling of 381326401 in words is "three hundred eighty-one million, three hundred twenty-six thousand, four hundred one".