Search a number
-
+
34664357 = 7131672281
BaseRepresentation
bin1000010000111…
…0111110100101
32102020010120002
42010032332211
532333224412
63234551045
7600433160
oct204167645
972203502
1034664357
1118626932
12b738485
137249070
144864ad7
15309adc2
hex210efa5

34664357 has 16 divisors (see below), whose sum is σ = 42938112. Its totient is φ = 27250560.

The previous prime is 34664327. The next prime is 34664363. The reversal of 34664357 is 75346643.

34664357 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 34664357 - 28 = 34664101 is a prime.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 34664357.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34664327) 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 in 15 ways as a sum of consecutive naturals, for example, 14057 + ... + 16337.

It is an arithmetic number, because the mean of its divisors is an integer number (2683632).

Almost surely, 234664357 is an apocalyptic number.

It is an amenable number.

34664357 is a deficient number, since it is larger than the sum of its proper divisors (8273755).

34664357 is a wasteful number, since it uses less digits than its factorization.

34664357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2468.

The product of its digits is 181440, while the sum is 38.

The square root of 34664357 is about 5887.6444355956. The cubic root of 34664357 is about 326.0576415821.

The spelling of 34664357 in words is "thirty-four million, six hundred sixty-four thousand, three hundred fifty-seven".

Divisors: 1 7 13 91 167 1169 2171 2281 15197 15967 29653 207571 380927 2666489 4952051 34664357