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2240440 = 23579709
BaseRepresentation
bin1000100010111110111000
311012211022021
420202332320
51033143230
6120004224
725020616
oct10427670
94184267
102240440
1112a0304
12900674
13605a07
144246b6
152e3c7a
hex222fb8

2240440 has 32 divisors (see below), whose sum is σ = 5112000. Its totient is φ = 883584.

The previous prime is 2240431. The next prime is 2240449. The reversal of 2240440 is 440422.

2240440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2240431) and next prime (2240449).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240449) 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 7 ways as a sum of consecutive naturals, for example, 2806 + ... + 3514.

It is an arithmetic number, because the mean of its divisors is an integer number (159750).

22240440 is an apocalyptic number.

2240440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2240440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2556000).

2240440 is an abundant number, since it is smaller than the sum of its proper divisors (2871560).

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

2240440 is a wasteful number, since it uses less digits than its factorization.

2240440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 2240440 is about 1496.8099411749. The cubic root of 2240440 is about 130.8512189251.

Adding to 2240440 its reverse (440422), we get a palindrome (2680862).

The spelling of 2240440 in words is "two million, two hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 79 158 316 395 632 709 790 1418 1580 2836 3160 3545 5672 7090 14180 28360 56011 112022 224044 280055 448088 560110 1120220 2240440