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2023172340 = 2235747113907
BaseRepresentation
bin111100010010111…
…0010100011110100
312012222221210200220
41320211302203310
513120413003330
6532431334340
7101064452430
oct17045624364
95188853626
102023172340
11949034362
124856813b0
132631cb6c7
141529ab9c0
15bc93d710
hex789728f4

2023172340 has 192 divisors, whose sum is σ = 6677766144. Its totient is φ = 448100352.

The previous prime is 2023172323. The next prime is 2023172341. The reversal of 2023172340 is 432713202.

2023172340 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2023172340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023172341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2230167 + ... + 2231073.

It is an arithmetic number, because the mean of its divisors is an integer number (34780032).

Almost surely, 22023172340 is an apocalyptic number.

2023172340 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 2023172340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3338883072).

2023172340 is an abundant number, since it is smaller than the sum of its proper divisors (4654593804).

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

2023172340 is a wasteful number, since it uses less digits than its factorization.

2023172340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 2023172340 is about 44979.6880825112. The cubic root of 2023172340 is about 1264.7682640910.

Adding to 2023172340 its reverse (432713202), we get a palindrome (2455885542).

The spelling of 2023172340 in words is "two billion, twenty-three million, one hundred seventy-two thousand, three hundred forty".