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2442334356 = 2234711223439
BaseRepresentation
bin1001000110010011…
…0001000010010100
320022012200102220000
42101210301002110
520000214144411
61042203411300
7114344333220
oct22144610224
96265612800
102442334356
1110436a7a50
12581b23b30
132cbcbbb77
1419251d780
15e4639956
hex91931094

2442334356 has 240 divisors, whose sum is σ = 8014110720. Its totient is φ = 630089280.

The previous prime is 2442334343. The next prime is 2442334357. The reversal of 2442334356 is 6534332442.

2442334356 is a `hidden beast` number, since 244 + 23 + 343 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2442334356.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2442334357) 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 79 ways as a sum of consecutive naturals, for example, 5563185 + ... + 5563623.

It is an arithmetic number, because the mean of its divisors is an integer number (33392128).

Almost surely, 22442334356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2442334356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4007055360).

2442334356 is an abundant number, since it is smaller than the sum of its proper divisors (5571776364).

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

2442334356 is a wasteful number, since it uses less digits than its factorization.

2442334356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 685 counting only the distinct ones).

The product of its digits is 207360, while the sum is 36.

The square root of 2442334356 is about 49419.9793201090. The cubic root of 2442334356 is about 1346.6922873874.

Adding to 2442334356 its reverse (6534332442), we get a palindrome (8976666798).

The spelling of 2442334356 in words is "two billion, four hundred forty-two million, three hundred thirty-four thousand, three hundred fifty-six".