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2342906592 = 2531323312633
BaseRepresentation
bin1000101110100101…
…1110101011100000
320001021120222122020
42023221132223200
514244241002332
61024252341440
7112026243315
oct21351365340
96037528566
102342906592
11aa2567444
12554774880
132b4518980
1418323ad0c
15daa4982c
hex8ba5eae0

2342906592 has 192 divisors, whose sum is σ = 7136833536. Its totient is φ = 667054080.

The previous prime is 2342906591. The next prime is 2342906609. The reversal of 2342906592 is 2956092432.

2342906592 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 2×23429065922 = 10978422597674108928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2342906591) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 888508 + ... + 891140.

It is an arithmetic number, because the mean of its divisors is an integer number (37171008).

Almost surely, 22342906592 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 2342906592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3568416768).

2342906592 is an abundant number, since it is smaller than the sum of its proper divisors (4793926944).

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

2342906592 is a wasteful number, since it uses less digits than its factorization.

2342906592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2713 (or 2705 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 2342906592 is about 48403.5803634401. The cubic root of 2342906592 is about 1328.1638581864.

The spelling of 2342906592 in words is "two billion, three hundred forty-two million, nine hundred six thousand, five hundred ninety-two".