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2023461440 = 265711136317
BaseRepresentation
bin111100010011011…
…1001001001000000
312020000111111021022
41320212321021000
513121001231230
6532441445012
7101100065330
oct17046711100
95200444238
102023461440
11949211590
124857a0768
132632a0180
14152a450c0
15bc9991e5
hex789b9240

2023461440 has 224 divisors, whose sum is σ = 6470440704. Its totient is φ = 582082560.

The previous prime is 2023461421. The next prime is 2023461491. The reversal of 2023461440 is 441643202.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 317162 + ... + 323478.

It is an arithmetic number, because the mean of its divisors is an integer number (28885896).

Almost surely, 22023461440 is an apocalyptic number.

2023461440 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 2023461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3235220352).

2023461440 is an abundant number, since it is smaller than the sum of its proper divisors (4446979264).

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

2023461440 is a wasteful number, since it uses less digits than its factorization.

2023461440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6365 (or 6355 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 2023461440 is about 44982.9016405123. The cubic root of 2023461440 is about 1264.8285039897.

The spelling of 2023461440 in words is "two billion, twenty-three million, four hundred sixty-one thousand, four hundred forty".