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34681807 is a prime number
BaseRepresentation
bin1000010001001…
…1001111001111
32102021000111101
42010103033033
532334304212
63235203531
7600535066
oct204231717
972230441
1034681807
1118638a56
12b7465a7
137253ca4
14486b1dd
1530a1157
hex21133cf

34681807 has 2 divisors, whose sum is σ = 34681808. Its totient is φ = 34681806.

The previous prime is 34681781. The next prime is 34681811. The reversal of 34681807 is 70818643.

It is a happy number.

34681807 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34681807 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34681837) 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, 17340903 + 17340904.

It is an arithmetic number, because the mean of its divisors is an integer number (17340904).

Almost surely, 234681807 is an apocalyptic number.

34681807 is a deficient number, since it is larger than the sum of its proper divisors (1).

34681807 is an equidigital number, since it uses as much as digits as its factorization.

34681807 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 34681807 is about 5889.1261660793. The cubic root of 34681807 is about 326.1123447593.

The spelling of 34681807 in words is "thirty-four million, six hundred eighty-one thousand, eight hundred seven".