Search a number
-
+
4077000329 is a prime number
BaseRepresentation
bin1111001100000010…
…0001011010001001
3101112010121002001012
43303000201122021
531322203002304
61512320133305
7203013634223
oct36300413211
911463532035
104077000329
1118023a6766
12959467235
134cc87163c
142a9679413
1518cdd516e
hexf3021689

4077000329 has 2 divisors, whose sum is σ = 4077000330. Its totient is φ = 4077000328.

The previous prime is 4077000251. The next prime is 4077000419. The reversal of 4077000329 is 9230007704.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3926275600 + 150724729 = 62660^2 + 12277^2 .

It is a cyclic number.

It is not a de Polignac number, because 4077000329 - 28 = 4077000073 is a prime.

It is a super-2 number, since 2×40770003292 = 33243863365332216482, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4077000295 and 4077000304.

It is not a weakly prime, because it can be changed into another prime (4077000029) 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, 2038500164 + 2038500165.

It is an arithmetic number, because the mean of its divisors is an integer number (2038500165).

Almost surely, 24077000329 is an apocalyptic number.

It is an amenable number.

4077000329 is a deficient number, since it is larger than the sum of its proper divisors (1).

4077000329 is an equidigital number, since it uses as much as digits as its factorization.

4077000329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10584, while the sum is 32.

The square root of 4077000329 is about 63851.3925376730. The cubic root of 4077000329 is about 1597.5222494560.

The spelling of 4077000329 in words is "four billion, seventy-seven million, three hundred twenty-nine", and thus it is an aban number.