Search a number
-
+
395366401 is a prime number
BaseRepresentation
bin10111100100001…
…101000000000001
31000112221200202001
4113210031000001
51302203211101
6103122024001
712540362503
oct2744150001
91015850661
10395366401
111931a06a1
12b04a8001
1363bab521
143a719d73
1524a9a901
hex1790d001

395366401 has 2 divisors, whose sum is σ = 395366402. Its totient is φ = 395366400.

The previous prime is 395366393. The next prime is 395366407. The reversal of 395366401 is 104663593.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 369600625 + 25765776 = 19225^2 + 5076^2 .

It is a cyclic number.

It is not a de Polignac number, because 395366401 - 23 = 395366393 is a prime.

It is not a weakly prime, because it can be changed into another prime (395366407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 197683200 + 197683201.

It is an arithmetic number, because the mean of its divisors is an integer number (197683201).

Almost surely, 2395366401 is an apocalyptic number.

It is an amenable number.

395366401 is a deficient number, since it is larger than the sum of its proper divisors (1).

395366401 is an equidigital number, since it uses as much as digits as its factorization.

395366401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 58320, while the sum is 37.

The square root of 395366401 is about 19883.8225952657. The cubic root of 395366401 is about 733.9501886671.

It can be divided in two parts, 395 and 366401, that added together give a triangular number (366796 = T856).

The spelling of 395366401 in words is "three hundred ninety-five million, three hundred sixty-six thousand, four hundred one".