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34640305 = 572178317
BaseRepresentation
bin1000010000100…
…1000110110001
32102011220120021
42010021012301
532331442210
63234243441
7600303100
oct204110661
972156507
1034640305
111860a857
12b726581
13723b12b
14485a037
153093bda
hex21091b1

34640305 has 24 divisors (see below), whose sum is σ = 51205608. Its totient is φ = 22353408.

The previous prime is 34640303. The next prime is 34640317. The reversal of 34640305 is 50304643.

It can be written as a sum of positive squares in 4 ways, for example, as 17698849 + 16941456 = 4207^2 + 4116^2 .

It is not a de Polignac number, because 34640305 - 21 = 34640303 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34640305.

It is not an unprimeable number, because it can be changed into a prime (34640303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7 + ... + 8323.

It is an arithmetic number, because the mean of its divisors is an integer number (2133567).

Almost surely, 234640305 is an apocalyptic number.

34640305 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34640305 is a deficient number, since it is larger than the sum of its proper divisors (16565303).

34640305 is a wasteful number, since it uses less digits than its factorization.

34640305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8353 (or 8346 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 34640305 is about 5885.6014985726. The cubic root of 34640305 is about 325.9822120095.

Adding to 34640305 its reverse (50304643), we get a palindrome (84944948).

The spelling of 34640305 in words is "thirty-four million, six hundred forty thousand, three hundred five".

Divisors: 1 5 7 17 35 49 85 119 245 595 833 4165 8317 41585 58219 141389 291095 407533 706945 989723 2037665 4948615 6928061 34640305