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2442004344 = 2332133118389
BaseRepresentation
bin1001000110001110…
…0000011101111000
320022012001200012100
42101203200131320
520000123114334
61042152343400
7114341460123
oct22143403570
96265050170
102442004344
1110434a200a
125819a4b60
132cbc048b0
141924753ba
15e45c1c99
hex918e0778

2442004344 has 96 divisors (see below), whose sum is σ = 7146266400. Its totient is φ = 748880640.

The previous prime is 2442004343. The next prime is 2442004381. The reversal of 2442004344 is 4434002442.

It is a happy number.

2442004344 is a `hidden beast` number, since 24 + 4 + 200 + 434 + 4 = 666.

It is a super-2 number, since 2×24420043442 = 11926770432229740672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2442004343) 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, 286902 + ... + 295290.

It is an arithmetic number, because the mean of its divisors is an integer number (74440275).

Almost surely, 22442004344 is an apocalyptic number.

2442004344 is a gapful number since it is divisible by the number (24) 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 2442004344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3573133200).

2442004344 is an abundant number, since it is smaller than the sum of its proper divisors (4704262056).

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

2442004344 is a wasteful number, since it uses less digits than its factorization.

2442004344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8725 (or 8718 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 2442004344 is about 49416.6403552488. The cubic root of 2442004344 is about 1346.6316289395.

Adding to 2442004344 its reverse (4434002442), we get a palindrome (6876006786).

The spelling of 2442004344 in words is "two billion, four hundred forty-two million, four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 311 312 468 622 933 936 1244 1866 2488 2799 3732 4043 5598 7464 8086 8389 11196 12129 16172 16778 22392 24258 25167 32344 33556 36387 48516 50334 67112 72774 75501 97032 100668 109057 145548 151002 201336 218114 291096 302004 327171 436228 604008 654342 872456 981513 1308684 1963026 2608979 2617368 3926052 5217958 7826937 7852104 10435916 15653874 20871832 23480811 31307748 33916727 46961622 62615496 67833454 93923244 101750181 135666908 187846488 203500362 271333816 305250543 407000724 610501086 814001448 1221002172 2442004344