Search a number
-
+
34000081 is a prime number
BaseRepresentation
bin1000000110110…
…0110011010001
32100222101100021
42001230303101
532201000311
63212423441
7561665413
oct201546321
970871307
1034000081
1118212845
12b477b81
1370758bb
1447309b3
152eb9171
hex206ccd1

34000081 has 2 divisors, whose sum is σ = 34000082. Its totient is φ = 34000080.

The previous prime is 34000067. The next prime is 34000091. The reversal of 34000081 is 18000043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30902481 + 3097600 = 5559^2 + 1760^2 .

It is a cyclic number.

It is not a de Polignac number, because 34000081 - 211 = 33998033 is a prime.

It is a super-2 number, since 2×340000812 = 2312011016013122, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34000061) 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, 17000040 + 17000041.

It is an arithmetic number, because the mean of its divisors is an integer number (17000041).

Almost surely, 234000081 is an apocalyptic number.

It is an amenable number.

34000081 is a deficient number, since it is larger than the sum of its proper divisors (1).

34000081 is an equidigital number, since it uses as much as digits as its factorization.

34000081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 34000081 is about 5830.9588405339. The cubic root of 34000081 is about 323.9614373908.

The spelling of 34000081 in words is "thirty-four million, eighty-one", and thus it is an aban number.