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34093305 = 34584181
BaseRepresentation
bin1000001000001…
…1100011111001
32101011010020000
42002003203321
532211441210
63214423213
7562534251
oct202034371
971133200
1034093305
1118276894
12b501b09
1370a916c
144756961
152ed6ac0
hex20838f9

34093305 has 20 divisors (see below), whose sum is σ = 61116132. Its totient is φ = 18182880.

The previous prime is 34093289. The next prime is 34093307. The reversal of 34093305 is 50339043.

It can be written as a sum of positive squares in 2 ways, for example, as 26409321 + 7683984 = 5139^2 + 2772^2 .

It is not a de Polignac number, because 34093305 - 24 = 34093289 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (34093307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 41686 + ... + 42495.

Almost surely, 234093305 is an apocalyptic number.

It is an amenable number.

34093305 is a deficient number, since it is larger than the sum of its proper divisors (27022827).

34093305 is an equidigital number, since it uses as much as digits as its factorization.

34093305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84198 (or 84189 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 34093305 is about 5838.9472510034. The cubic root of 34093305 is about 324.2572545347.

The spelling of 34093305 in words is "thirty-four million, ninety-three thousand, three hundred five".

Divisors: 1 3 5 9 15 27 45 81 135 405 84181 252543 420905 757629 1262715 2272887 3788145 6818661 11364435 34093305