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3382263 = 33125269
BaseRepresentation
bin1100111001101111110111
320100211121000
430321233313
51331213023
6200254343
740514553
oct14715767
96324530
103382263
111a00165
1211713b3
13915651
14640863
1546c243
hex339bf7

3382263 has 8 divisors (see below), whose sum is σ = 5010800. Its totient is φ = 2254824.

The previous prime is 3382259. The next prime is 3382271. The reversal of 3382263 is 3622833.

It is not a de Polignac number, because 3382263 - 22 = 3382259 is a prime.

It is a super-2 number, since 2×33822632 = 22879406002338, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 125269 = 3382263 / (3 + 3 + 8 + 2 + 2 + 6 + 3).

It is a d-powerful number, because it can be written as 311 + 313 + 82 + 24 + 214 + 6 + 313 .

It is a Duffinian number.

3382263 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3382243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62608 + ... + 62661.

It is an arithmetic number, because the mean of its divisors is an integer number (626350).

Almost surely, 23382263 is an apocalyptic number.

3382263 is a deficient number, since it is larger than the sum of its proper divisors (1628537).

3382263 is a wasteful number, since it uses less digits than its factorization.

3382263 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125278 (or 125272 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 3382263 is about 1839.0929829674. The cubic root of 3382263 is about 150.1075229071.

It can be divided in two parts, 338 and 2263, that added together give a square (2601 = 512).

The spelling of 3382263 in words is "three million, three hundred eighty-two thousand, two hundred sixty-three".

Divisors: 1 3 9 27 125269 375807 1127421 3382263