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2023713328 = 247213238997
BaseRepresentation
bin111100010011111…
…0110101000110000
312020000222021210111
41320213312220300
513121032311303
6532451111104
7101102164600
oct17047665060
95200867714
102023713328
1194937385a
124858a2494
1326335aa10
14152aacc00
15bc9e8b6d
hex789f6a30

2023713328 has 240 divisors, whose sum is σ = 5236539840. Its totient is φ = 749371392.

The previous prime is 2023713323. The next prime is 2023713331. The reversal of 2023713328 is 8233173202.

It is a self number, because there is not a number n which added to its sum of digits gives 2023713328.

It is not an unprimeable number, because it can be changed into a prime (2023713323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20862976 + ... + 20863072.

It is an arithmetic number, because the mean of its divisors is an integer number (21818916).

Almost surely, 22023713328 is an apocalyptic number.

2023713328 is a gapful number since it is divisible by the number (28) 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 2023713328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2618269920).

2023713328 is an abundant number, since it is smaller than the sum of its proper divisors (3212826512).

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

2023713328 is a wasteful number, since it uses less digits than its factorization.

2023713328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 2023713328 is about 44985.7013727695. The cubic root of 2023713328 is about 1264.8809853297.

The spelling of 2023713328 in words is "two billion, twenty-three million, seven hundred thirteen thousand, three hundred twenty-eight".