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378678401 is a prime number
BaseRepresentation
bin10110100100100…
…010110010000001
3222101112212002222
4112210202302001
51233420202101
6101324220425
712245466443
oct2644426201
9871485088
10378678401
11184832762
12a699a715
13605b777a
1438414493
15233a101b
hex16922c81

378678401 has 2 divisors, whose sum is σ = 378678402. Its totient is φ = 378678400.

The previous prime is 378678353. The next prime is 378678407. The reversal of 378678401 is 104876873.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 234702400 + 143976001 = 15320^2 + 11999^2 .

It is a cyclic number.

It is not a de Polignac number, because 378678401 - 214 = 378662017 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (378678407) 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, 189339200 + 189339201.

It is an arithmetic number, because the mean of its divisors is an integer number (189339201).

Almost surely, 2378678401 is an apocalyptic number.

It is an amenable number.

378678401 is a deficient number, since it is larger than the sum of its proper divisors (1).

378678401 is an equidigital number, since it uses as much as digits as its factorization.

378678401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 225792, while the sum is 44.

The square root of 378678401 is about 19459.6608654930. The cubic root of 378678401 is about 723.4749717797.

The spelling of 378678401 in words is "three hundred seventy-eight million, six hundred seventy-eight thousand, four hundred one".