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2434040 = 23578693
BaseRepresentation
bin1001010010001111111000
311120122212122
421102033320
51110342130
6124100412
726455220
oct11221770
94518778
102434040
111412804
12994708
13672b7b
14475080
153312e5
hex2523f8

2434040 has 32 divisors (see below), whose sum is σ = 6259680. Its totient is φ = 834432.

The previous prime is 2434037. The next prime is 2434049. The reversal of 2434040 is 404342.

2434040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2434049) 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, 4067 + ... + 4626.

It is an arithmetic number, because the mean of its divisors is an integer number (195615).

22434040 is an apocalyptic number.

2434040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2434040 is an abundant number, since it is smaller than the sum of its proper divisors (3825640).

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

2434040 is a wasteful number, since it uses less digits than its factorization.

2434040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8711 (or 8707 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 2434040 is about 1560.1410192672. The cubic root of 2434040 is about 134.5166068041.

Adding to 2434040 its reverse (404342), we get a palindrome (2838382).

The spelling of 2434040 in words is "two million, four hundred thirty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 8693 17386 34772 43465 60851 69544 86930 121702 173860 243404 304255 347720 486808 608510 1217020 2434040