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3226905 = 335114153
BaseRepresentation
bin1100010011110100011001
320001221111000
430103310121
51311230110
6153055213
736266613
oct14236431
96057430
103226905
111904470
1210b7509
1388ca16
145dddb3
1543b1c0
hex313d19

3226905 has 64 divisors (see below), whose sum is σ = 6531840. Its totient is φ = 1497600.

The previous prime is 3226901. The next prime is 3226907. The reversal of 3226905 is 5096223.

3226905 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 3226905 - 22 = 3226901 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3226901) 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 63 ways as a sum of consecutive naturals, for example, 60859 + ... + 60911.

It is an arithmetic number, because the mean of its divisors is an integer number (102060).

Almost surely, 23226905 is an apocalyptic number.

It is an amenable number.

3226905 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

3226905 is a wasteful number, since it uses less digits than its factorization.

3226905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 3226905 is about 1796.3588171632. The cubic root of 3226905 is about 147.7731031408.

It can be divided in two parts, 322 and 6905, that added together give a palindrome (7227).

The spelling of 3226905 in words is "three million, two hundred twenty-six thousand, nine hundred five".

Divisors: 1 3 5 9 11 15 27 33 41 45 53 55 99 123 135 159 165 205 265 297 369 451 477 495 583 615 795 1107 1353 1431 1485 1749 1845 2173 2255 2385 2915 4059 5247 5535 6519 6765 7155 8745 10865 12177 15741 19557 20295 23903 26235 32595 58671 60885 71709 78705 97785 119515 215127 293355 358545 645381 1075635 3226905