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3218325 = 352114783
BaseRepresentation
bin1100010001101110010101
320001111201020
430101232111
51310441300
6152551353
736232605
oct14215625
96044636
103218325
1118a8a80
1210b2559
13888b46
145dac05
154388a0
hex311b95

3218325 has 48 divisors (see below), whose sum is σ = 5999616. Its totient is φ = 1508800.

The previous prime is 3218323. The next prime is 3218357. The reversal of 3218325 is 5238123.

3218325 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3218325 - 21 = 3218323 is a prime.

It is an alternating number because its digits alternate between odd and even.

3218325 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 3218295 and 3218304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3218323) 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 47 ways as a sum of consecutive naturals, for example, 38734 + ... + 38816.

It is an arithmetic number, because the mean of its divisors is an integer number (124992).

Almost surely, 23218325 is an apocalyptic number.

It is an amenable number.

3218325 is a deficient number, since it is larger than the sum of its proper divisors (2781291).

3218325 is a wasteful number, since it uses less digits than its factorization.

3218325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 149 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 3218325 is about 1793.9690632784. The cubic root of 3218325 is about 147.6420158586.

It can be divided in two parts, 321 and 8325, that added together give a triangular number (8646 = T131).

The spelling of 3218325 in words is "three million, two hundred eighteen thousand, three hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 47 55 75 83 141 165 235 249 275 415 517 705 825 913 1175 1245 1551 2075 2585 2739 3525 3901 4565 6225 7755 11703 12925 13695 19505 22825 38775 42911 58515 68475 97525 128733 214555 292575 643665 1072775 3218325