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2240364 = 2237149179
BaseRepresentation
bin1000100010111101101100
311012211012110
420202331230
51033142424
6120004020
725020450
oct10427554
94184173
102240364
1112a0245
12900610
13605979
14424660
152e3c29
hex222f6c

2240364 has 48 divisors (see below), whose sum is σ = 6048000. Its totient is φ = 632256.

The previous prime is 2240351. The next prime is 2240369. The reversal of 2240364 is 4630422.

2240364 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 (21).

It is a self number, because there is not a number n which added to its sum of digits gives 2240364.

It is not an unprimeable number, because it can be changed into a prime (2240369) 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, 12427 + ... + 12605.

It is an arithmetic number, because the mean of its divisors is an integer number (126000).

22240364 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 2240364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3024000).

2240364 is an abundant number, since it is smaller than the sum of its proper divisors (3807636).

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

2240364 is a wasteful number, since it uses less digits than its factorization.

2240364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2240364 is about 1496.7845536349. The cubic root of 2240364 is about 130.8497393340.

Adding to 2240364 its reverse (4630422), we get a palindrome (6870786).

The spelling of 2240364 in words is "two million, two hundred forty thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 149 179 298 358 447 537 596 716 894 1043 1074 1253 1788 2086 2148 2506 3129 3759 4172 5012 6258 7518 12516 15036 26671 53342 80013 106684 160026 186697 320052 373394 560091 746788 1120182 2240364