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2423341440 = 273251332363
BaseRepresentation
bin1001000001110001…
…0100000110000000
320020212221111111200
42100130110012000
514430333411230
61040244341200
7114024030252
oct22034240600
96225844450
102423341440
111033a05323
125776a4800
132c809bc60
1418dbb7cd2
15e2b37160
hex90714180

2423341440 has 192 divisors, whose sum is σ = 9012079440. Its totient is φ = 596496384.

The previous prime is 2423341409. The next prime is 2423341441. The reversal of 2423341440 is 441433242.

It is a happy number.

2423341440 is a `hidden beast` number, since 242 + 3 + 3 + 414 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2423341441) 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, 58699 + ... + 91061.

Almost surely, 22423341440 is an apocalyptic number.

2423341440 is a gapful number since it is divisible by the number (20) 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 2423341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4506039720).

2423341440 is an abundant number, since it is smaller than the sum of its proper divisors (6588738000).

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

2423341440 is a wasteful number, since it uses less digits than its factorization.

2423341440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32401 (or 32386 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 2423341440 is about 49227.4460032206. The cubic root of 2423341440 is about 1343.1923293571.

Adding to 2423341440 its reverse (441433242), we get a palindrome (2864774682).

The spelling of 2423341440 in words is "two billion, four hundred twenty-three million, three hundred forty-one thousand, four hundred forty".