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34006981 is a prime number
BaseRepresentation
bin1000000110111…
…0011111000101
32100222201210211
42001232133011
532201210411
63212515421
7562024501
oct201563705
970881724
1034006981
1118217a48
12b47bb71
137078a98
144733301
152ebb221
hex206e7c5

34006981 has 2 divisors, whose sum is σ = 34006982. Its totient is φ = 34006980.

The previous prime is 34006963. The next prime is 34007059. The reversal of 34006981 is 18960043.

34006981 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31741956 + 2265025 = 5634^2 + 1505^2 .

It is a cyclic number.

It is not a de Polignac number, because 34006981 - 217 = 33875909 is a prime.

It is a super-2 number, since 2×340069812 = 2312949513468722, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34006381) 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, 17003490 + 17003491.

It is an arithmetic number, because the mean of its divisors is an integer number (17003491).

Almost surely, 234006981 is an apocalyptic number.

It is an amenable number.

34006981 is a deficient number, since it is larger than the sum of its proper divisors (1).

34006981 is an equidigital number, since it uses as much as digits as its factorization.

34006981 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 34006981 is about 5831.5504799324. The cubic root of 34006981 is about 323.9833508947.

The spelling of 34006981 in words is "thirty-four million, six thousand, nine hundred eighty-one".