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34049835 = 335311811
BaseRepresentation
bin1000000111100…
…0111100101011
32101001220121000
42001320330223
532204043320
63213450043
7562263441
oct201707453
971056530
1034049835
1118247166
12b4a0923
137092441
144744b91
152ec8c90
hex2078f2b

34049835 has 32 divisors (see below), whose sum is σ = 60802560. Its totient is φ = 18079200.

The previous prime is 34049831. The next prime is 34049839. The reversal of 34049835 is 53894043.

34049835 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (34049831) and next prime (34049839).

It is not a de Polignac number, because 34049835 - 22 = 34049831 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34049835.

It is not an unprimeable number, because it can be changed into a prime (34049831) 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, 41580 + ... + 42390.

It is an arithmetic number, because the mean of its divisors is an integer number (1900080).

Almost surely, 234049835 is an apocalyptic number.

34049835 is a deficient number, since it is larger than the sum of its proper divisors (26752725).

34049835 is a wasteful number, since it uses less digits than its factorization.

34049835 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 34049835 is about 5835.2236460996. The cubic root of 34049835 is about 324.1193833035.

The spelling of 34049835 in words is "thirty-four million, forty-nine thousand, eight hundred thirty-five".

Divisors: 1 3 5 9 15 27 45 135 311 811 933 1555 2433 2799 4055 4665 7299 8397 12165 13995 21897 36495 41985 109485 252221 756663 1261105 2269989 3783315 6809967 11349945 34049835