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2023404240 = 243511131929107
BaseRepresentation
bin111100010011010…
…1011001011010000
312020000101120210210
41320212223023100
513120442413430
6532440324120
7101066436504
oct17046531320
95200346723
102023404240
11949182610
12485773640
13263280120
14152a2c304
15bc9872b0
hex789ab2d0

2023404240 has 640 divisors, whose sum is σ = 8099481600. Its totient is φ = 410296320.

The previous prime is 2023404223. The next prime is 2023404247. The reversal of 2023404240 is 424043202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023404247) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18910267 + ... + 18910373.

It is an arithmetic number, because the mean of its divisors is an integer number (12655440).

Almost surely, 22023404240 is an apocalyptic number.

2023404240 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 2023404240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4049740800).

2023404240 is an abundant number, since it is smaller than the sum of its proper divisors (6076077360).

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

2023404240 is a wasteful number, since it uses less digits than its factorization.

2023404240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 2023404240 is about 44982.2658388837. The cubic root of 2023404240 is about 1264.8165856550.

Adding to 2023404240 its reverse (424043202), we get a palindrome (2447447442).

The spelling of 2023404240 in words is "two billion, twenty-three million, four hundred four thousand, two hundred forty".