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3640364 = 2271373137
BaseRepresentation
bin1101111000110000101100
320211221122022
431320300230
51412442424
6210005312
742641210
oct15706054
96757568
103640364
112067072
121276838
139a5c80
146aa940
154bd95e
hex378c2c

3640364 has 48 divisors (see below), whose sum is σ = 8006208. Its totient is φ = 1410048.

The previous prime is 3640333. The next prime is 3640369. The reversal of 3640364 is 4630463.

3640364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (3640369) 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, 26504 + ... + 26640.

It is an arithmetic number, because the mean of its divisors is an integer number (166796).

Almost surely, 23640364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3640364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4003104).

3640364 is an abundant number, since it is smaller than the sum of its proper divisors (4365844).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3640364 is a wasteful number, since it uses less digits than its factorization.

3640364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

The square root of 3640364 is about 1907.9737943693. The cubic root of 3640364 is about 153.8325610298.

Subtracting 3640364 from its reverse (4630463), we obtain a palindrome (990099).

It can be divided in two parts, 3640 and 364, that added together give a palindrome (4004).

The spelling of 3640364 in words is "three million, six hundred forty thousand, three hundred sixty-four".

Divisors: 1 2 4 7 13 14 26 28 52 73 91 137 146 182 274 292 364 511 548 949 959 1022 1781 1898 1918 2044 3562 3796 3836 6643 7124 10001 12467 13286 20002 24934 26572 40004 49868 70007 130013 140014 260026 280028 520052 910091 1820182 3640364