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34027361 is a prime number
BaseRepresentation
bin1000000111001…
…1011101100001
32101000202202122
42001303131201
532202333421
63213154025
7562141064
oct201633541
971022678
1034027361
1118231295
12b48b915
137085144
14473a8db
152ec22ab
hex2073761

34027361 has 2 divisors, whose sum is σ = 34027362. Its totient is φ = 34027360.

The previous prime is 34027333. The next prime is 34027369. The reversal of 34027361 is 16372043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29430625 + 4596736 = 5425^2 + 2144^2 .

It is an emirp because it is prime and its reverse (16372043) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34027361 - 26 = 34027297 is a prime.

It is a super-2 number, since 2×340273612 = 2315722593248642, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34027361.

It is not a weakly prime, because it can be changed into another prime (34027369) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17013680 + 17013681.

It is an arithmetic number, because the mean of its divisors is an integer number (17013681).

Almost surely, 234027361 is an apocalyptic number.

It is an amenable number.

34027361 is a deficient number, since it is larger than the sum of its proper divisors (1).

34027361 is an equidigital number, since it uses as much as digits as its factorization.

34027361 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 34027361 is about 5833.2976094144. The cubic root of 34027361 is about 324.0480578259.

The spelling of 34027361 in words is "thirty-four million, twenty-seven thousand, three hundred sixty-one".