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34820335 = 51117167223
BaseRepresentation
bin1000010011010…
…1000011101111
32102112001112001
42010311003233
532403222320
63242153131
7601653004
oct204650357
972461461
1034820335
1118723040
12b7b27a7
1372a2064
1448a58ab
1530cc20a
hex21350ef

34820335 has 32 divisors (see below), whose sum is σ = 48771072. Its totient is φ = 23585280.

The previous prime is 34820327. The next prime is 34820339. The reversal of 34820335 is 53302843.

34820335 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 34820335 - 23 = 34820327 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34820339) 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 31 ways as a sum of consecutive naturals, for example, 156034 + ... + 156256.

It is an arithmetic number, because the mean of its divisors is an integer number (1524096).

Almost surely, 234820335 is an apocalyptic number.

34820335 is a deficient number, since it is larger than the sum of its proper divisors (13950737).

34820335 is a wasteful number, since it uses less digits than its factorization.

34820335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423.

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 34820335 is about 5900.8757824581. The cubic root of 34820335 is about 326.5459599614.

The spelling of 34820335 in words is "thirty-four million, eight hundred twenty thousand, three hundred thirty-five".

Divisors: 1 5 11 17 55 85 167 187 223 835 935 1115 1837 2453 2839 3791 9185 12265 14195 18955 31229 37241 41701 156145 186205 208505 409651 633097 2048255 3165485 6964067 34820335