Search a number
-
+
398546441 is a prime number
BaseRepresentation
bin10111110000010…
…101011000001001
31000202221020221022
4113300111120021
51304011441231
6103314122225
712606405656
oct2760253011
91022836838
10398546441
11194a72927
12b1580375
1364752ac7
143ad06c2d
1524ec7c7b
hex17c15609

398546441 has 2 divisors, whose sum is σ = 398546442. Its totient is φ = 398546440.

The previous prime is 398546387. The next prime is 398546459. The reversal of 398546441 is 144645893.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 397603600 + 942841 = 19940^2 + 971^2 .

It is a cyclic number.

It is not a de Polignac number, because 398546441 - 214 = 398530057 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 398546392 and 398546401.

It is not a weakly prime, because it can be changed into another prime (398546471) 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, 199273220 + 199273221.

It is an arithmetic number, because the mean of its divisors is an integer number (199273221).

Almost surely, 2398546441 is an apocalyptic number.

It is an amenable number.

398546441 is a deficient number, since it is larger than the sum of its proper divisors (1).

398546441 is an equidigital number, since it uses as much as digits as its factorization.

398546441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 414720, while the sum is 44.

The square root of 398546441 is about 19963.6279518528. The cubic root of 398546441 is about 735.9127236076.

The spelling of 398546441 in words is "three hundred ninety-eight million, five hundred forty-six thousand, four hundred forty-one".