Search a number
-
+
3300257 = 5373853
BaseRepresentation
bin1100100101101110100001
320012200002202
430211232201
51321102012
6154422545
740023512
oct14455641
96180082
103300257
111954594
121131a55
138b721c
1461ca09
15452cc2
hex325ba1

3300257 has 8 divisors (see below), whose sum is σ = 3412584. Its totient is φ = 3189888.

The previous prime is 3300233. The next prime is 3300263. The reversal of 3300257 is 7520033.

3300257 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 4 ways, for example, as 234256 + 3066001 = 484^2 + 1751^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3300257 - 28 = 3300001 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 (3300217) 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 7 ways as a sum of consecutive naturals, for example, 3443 + ... + 4295.

It is an arithmetic number, because the mean of its divisors is an integer number (426573).

Almost surely, 23300257 is an apocalyptic number.

It is an amenable number.

3300257 is a deficient number, since it is larger than the sum of its proper divisors (112327).

3300257 is an equidigital number, since it uses as much as digits as its factorization.

3300257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979.

The product of its (nonzero) digits is 630, while the sum is 20.

The square root of 3300257 is about 1816.6609480032. The cubic root of 3300257 is about 148.8844200741.

It can be divided in two parts, 330025 and 7, that multiplied together give a triangular number (2310175 = T2149).

The spelling of 3300257 in words is "three million, three hundred thousand, two hundred fifty-seven".

Divisors: 1 53 73 853 3869 45209 62269 3300257