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2440242 = 2327107181
BaseRepresentation
bin1001010011110000110010
311120222101100
421103300302
51111041432
6124145230
726512260
oct11236062
94528340
102440242
111417432
12998216
1367593c
14477430
1533307c
hex253c32

2440242 has 48 divisors (see below), whose sum is σ = 6132672. Its totient is φ = 686880.

The previous prime is 2440241. The next prime is 2440247. The reversal of 2440242 is 2420442.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2440241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13392 + ... + 13572.

It is an arithmetic number, because the mean of its divisors is an integer number (127764).

22440242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2440242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3066336).

2440242 is an abundant number, since it is smaller than the sum of its proper divisors (3692430).

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

2440242 is a wasteful number, since it uses less digits than its factorization.

2440242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 2440242 is about 1562.1273955731. The cubic root of 2440242 is about 134.6307605587.

Adding to 2440242 its reverse (2420442), we get a palindrome (4860684).

The spelling of 2440242 in words is "two million, four hundred forty thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 107 126 181 214 321 362 543 642 749 963 1086 1267 1498 1629 1926 2247 2534 3258 3801 4494 6741 7602 11403 13482 19367 22806 38734 58101 116202 135569 174303 271138 348606 406707 813414 1220121 2440242