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2444373342 = 233415232111
BaseRepresentation
bin1001000110110010…
…0010110101011110
320022100112000212000
42101230202311132
520001224421332
61042315223130
7114400554615
oct22154426536
96270460760
102444373342
11104486a964
12582747aa6
132cc553c78
141928d087c
15e48ddb7c
hex91b22d5e

2444373342 has 64 divisors (see below), whose sum is σ = 5577707520. Its totient is φ = 793022400.

The previous prime is 2444373331. The next prime is 2444373361. The reversal of 2444373342 is 2433734442.

2444373342 is a `hidden beast` number, since 244 + 4 + 3 + 73 + 342 = 666.

2444373342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×24443733422 = 11949922070160497928, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2444373297 and 2444373306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1156867 + ... + 1158977.

It is an arithmetic number, because the mean of its divisors is an integer number (87151680).

Almost surely, 22444373342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2444373342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2788853760).

2444373342 is an abundant number, since it is smaller than the sum of its proper divisors (3133334178).

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

2444373342 is a wasteful number, since it uses less digits than its factorization.

2444373342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2686 (or 2680 counting only the distinct ones).

The product of its digits is 193536, while the sum is 36.

The square root of 2444373342 is about 49440.6041832015. The cubic root of 2444373342 is about 1347.0669457454.

The spelling of 2444373342 in words is "two billion, four hundred forty-four million, three hundred seventy-three thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 246 369 523 738 1046 1107 1569 2111 2214 3138 4222 4707 6333 9414 12666 14121 18999 21443 28242 37998 42886 56997 64329 86551 113994 128658 173102 192987 259653 385974 519306 578961 778959 1104053 1157922 1557918 2208106 2336877 3312159 4673754 6624318 9936477 19872954 29809431 45266173 59618862 90532346 135798519 271597038 407395557 814791114 1222186671 2444373342