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2023674420 = 22351931173331
BaseRepresentation
bin111100010011110…
…1101001000110100
312020000220022102110
41320213231020310
513121030040140
6532450211020
7101101643265
oct17047551064
95200808373
102023674420
119493475a9
12485883a70
132633460b1
14152a9c96c
15bc9dc380
hex789ed234

2023674420 has 192 divisors, whose sum is σ = 6211215360. Its totient is φ = 490406400.

The previous prime is 2023674409. The next prime is 2023674449. The reversal of 2023674420 is 244763202.

2023674420 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6113655 + ... + 6113985.

It is an arithmetic number, because the mean of its divisors is an integer number (32350080).

Almost surely, 22023674420 is an apocalyptic number.

2023674420 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 2023674420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3105607680).

2023674420 is an abundant number, since it is smaller than the sum of its proper divisors (4187540940).

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

2023674420 is a wasteful number, since it uses less digits than its factorization.

2023674420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 2023674420 is about 44985.2689221705. The cubic root of 2023674420 is about 1264.8728790589.

The spelling of 2023674420 in words is "two billion, twenty-three million, six hundred seventy-four thousand, four hundred twenty".