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2023027344 = 243213297857
BaseRepresentation
bin111100010010100…
…1111001010010000
312012222200102210200
41320211033022100
513120343333334
6532424255200
7101063306622
oct17045171220
95188612720
102023027344
11948a45428
12485611500
1326317a700
14152970c12
15bc910799
hex7894f290

2023027344 has 180 divisors, whose sum is σ = 6201110916. Its totient is φ = 615333888.

The previous prime is 2023027343. The next prime is 2023027373. The reversal of 2023027344 is 4437203202.

It can be written as a sum of positive squares in 6 ways, for example, as 51667344 + 1971360000 = 7188^2 + 44400^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023027343) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2360164 + ... + 2361020.

Almost surely, 22023027344 is an apocalyptic number.

2023027344 is a gapful number since it is divisible by the number (24) 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 2023027344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3100555458).

2023027344 is an abundant number, since it is smaller than the sum of its proper divisors (4178083572).

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

2023027344 is a wasteful number, since it uses less digits than its factorization.

2023027344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 2023027344 is about 44978.0762594400. The cubic root of 2023027344 is about 1264.7380490476.

It can be divided in two parts, 20230 and 27344, that added together give a palindrome (47574).

The spelling of 2023027344 in words is "two billion, twenty-three million, twenty-seven thousand, three hundred forty-four".