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2343075840 = 2153257227
BaseRepresentation
bin1000101110101000…
…1000000000000000
320001021220120210200
42023222020000000
514244311411330
61024300125200
7112030546620
oct21352100000
96037816720
102343075840
11aa2672616
12554836800
132b4577a11
14183282880
15daa7ea60
hex8ba88000

2343075840 has 384 divisors, whose sum is σ = 9323795520. Its totient is φ = 533200896.

The previous prime is 2343075829. The next prime is 2343075841. The reversal of 2343075840 is 485703432.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2343075795 and 2343075804.

It is not an unprimeable number, because it can be changed into a prime (2343075841) 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, 10321807 + ... + 10322033.

Almost surely, 22343075840 is an apocalyptic number.

2343075840 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 2343075840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4661897760).

2343075840 is an abundant number, since it is smaller than the sum of its proper divisors (6980719680).

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

2343075840 is an equidigital number, since it uses as much as digits as its factorization.

2343075840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 2343075840 is about 48405.3286322901. The cubic root of 2343075840 is about 1328.1958389270.

The spelling of 2343075840 in words is "two billion, three hundred forty-three million, seventy-five thousand, eight hundred forty".