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2340358530432 = 273132349103333
BaseRepresentation
bin100010000011101000001…
…111010010010110000000
322021201212121110122111120
4202003220033102112000
5301321023240433212
64551051301312240
7331041160164426
oct42035017222600
98251777418446
102340358530432
118225a441736a
123196b1405680
1313c9057c7400
14813b9a4b116
1540d2889488c
hex220e83d2580

2340358530432 has 192 divisors, whose sum is σ = 6750913554000. Its totient is φ = 718040014848.

The previous prime is 2340358530431. The next prime is 2340358530469.

It is a happy number.

2340358530432 is nontrivially palindromic in base 10.

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 (2340358530431) 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, 22597038 + ... + 22700370.

Almost surely, 22340358530432 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 2340358530432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3375456777000).

2340358530432 is an abundant number, since it is smaller than the sum of its proper divisors (4410555023568).

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

2340358530432 is a wasteful number, since it uses less digits than its factorization.

2340358530432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103725 (or 103700 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 42.

The spelling of 2340358530432 in words is "two trillion, three hundred forty billion, three hundred fifty-eight million, five hundred thirty thousand, four hundred thirty-two".