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2300018894340 = 22353747131191881
BaseRepresentation
bin100001011110000011110…
…011110010011000000100
322010212202021022210212120
4201132003303302120010
5300140414314104330
64520340351045540
7325112420013066
oct41360363623004
98125667283776
102300018894340
11807483782742
123119138108b0
13138b7727a05b
147d47030d736
153ec6716ec10
hex21783cf2604

2300018894340 has 384 divisors, whose sum is σ = 6849799520256. Its totient is φ = 575917056000.

The previous prime is 2300018894231. The next prime is 2300018894351. The reversal of 2300018894340 is 434988100032.

It is a junction number, because it is equal to n+sod(n) for n = 2300018894292 and 2300018894301.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2610690700 + ... + 2610691580.

It is an arithmetic number, because the mean of its divisors is an integer number (17838019584).

Almost surely, 22300018894340 is an apocalyptic number.

2300018894340 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 2300018894340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3424899760128).

2300018894340 is an abundant number, since it is smaller than the sum of its proper divisors (4549780625916).

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

2300018894340 is a wasteful number, since it uses less digits than its factorization.

2300018894340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 2300018894340 in words is "two trillion, three hundred billion, eighteen million, eight hundred ninety-four thousand, three hundred forty".