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34364905 = 517834871
BaseRepresentation
bin1000001100010…
…1110111101001
32101122220210021
42003011313221
532244134110
63224320441
7565045141
oct203056751
971586707
1034364905
1118441953
12b613121
137172983
1447c7921
15303c2da
hex20c5de9

34364905 has 16 divisors (see below), whose sum is σ = 44198784. Its totient is φ = 25557760.

The previous prime is 34364879. The next prime is 34364909. The reversal of 34364905 is 50946343.

It is a happy number.

34364905 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34364905 - 211 = 34362857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34364909) 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, 4620 + ... + 9490.

It is an arithmetic number, because the mean of its divisors is an integer number (2762424).

Almost surely, 234364905 is an apocalyptic number.

It is an amenable number.

34364905 is a deficient number, since it is larger than the sum of its proper divisors (9833879).

34364905 is a wasteful number, since it uses less digits than its factorization.

34364905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4976.

The product of its (nonzero) digits is 38880, while the sum is 34.

The square root of 34364905 is about 5862.1587320713. The cubic root of 34364905 is about 325.1160295768.

The spelling of 34364905 in words is "thirty-four million, three hundred sixty-four thousand, nine hundred five".

Divisors: 1 5 17 83 85 415 1411 4871 7055 24355 82807 404293 414035 2021465 6872981 34364905