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2341331332340 = 225711131910160943
BaseRepresentation
bin100010000100100010001…
…110001110110011110100
322021211101101222002211212
4202010202032032303310
5301330021310113330
64551332012020552
7331104241646540
oct42044216166364
98254341862755
102341331332340
11822a53553890
12319923161758
1313ca2c200a40
148146cd18a20
1540d83ea2295
hex2212238ecf4

2341331332340 has 384 divisors, whose sum is σ = 7017940500480. Its totient is φ = 631846656000.

The previous prime is 2341331332297. The next prime is 2341331332343. The reversal of 2341331332340 is 432331331432.

It is a junction number, because it is equal to n+sod(n) for n = 2341331332297 and 2341331332306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2341331332343) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38387909 + ... + 38448851.

It is an arithmetic number, because the mean of its divisors is an integer number (18275886720).

Almost surely, 22341331332340 is an apocalyptic number.

2341331332340 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 2341331332340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3508970250240).

2341331332340 is an abundant number, since it is smaller than the sum of its proper divisors (4676609168140).

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

2341331332340 is a wasteful number, since it uses less digits than its factorization.

2341331332340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61103 (or 61101 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 32.

Adding to 2341331332340 its reverse (432331331432), we get a palindrome (2773662663772).

The spelling of 2341331332340 in words is "two trillion, three hundred forty-one billion, three hundred thirty-one million, three hundred thirty-two thousand, three hundred forty".