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3300193 = 1317109137
BaseRepresentation
bin1100100101101101100001
320012200000101
430211231201
51321101233
6154422401
740023361
oct14455541
96180011
103300193
111954536
121131a01
138b71a0
1461c9a1
15452c7d
hex325b61

3300193 has 16 divisors (see below), whose sum is σ = 3825360. Its totient is φ = 2820096.

The previous prime is 3300191. The next prime is 3300203. The reversal of 3300193 is 3910033.

It is a happy number.

3300193 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 31329 + 3268864 = 177^2 + 1808^2 .

It is not a de Polignac number, because 3300193 - 21 = 3300191 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 3300193.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3300191) 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 15 ways as a sum of consecutive naturals, for example, 24021 + ... + 24157.

It is an arithmetic number, because the mean of its divisors is an integer number (239085).

Almost surely, 23300193 is an apocalyptic number.

It is an amenable number.

3300193 is a deficient number, since it is larger than the sum of its proper divisors (525167).

3300193 is a wasteful number, since it uses less digits than its factorization.

3300193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276.

The product of its (nonzero) digits is 243, while the sum is 19.

The square root of 3300193 is about 1816.6433331835. The cubic root of 3300193 is about 148.8834576577.

The spelling of 3300193 in words is "three million, three hundred thousand, one hundred ninety-three".

Divisors: 1 13 17 109 137 221 1417 1781 1853 2329 14933 24089 30277 194129 253861 3300193