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2443428000 = 2532531323227
BaseRepresentation
bin1001000110100011…
…1100000010100000
320022021202000002100
42101220330002200
520001004144000
61042243050400
7114356536536
oct22150740240
96267660070
102443428000
111044284692
12582370a00
132cc2b28b0
14192726156
15e47a3a00
hex91a3c0a0

2443428000 has 576 divisors, whose sum is σ = 9787744512. Its totient is φ = 572774400.

The previous prime is 2443427989. The next prime is 2443428049. The reversal of 2443428000 is 8243442.

It is a happy number.

2443428000 is a `hidden beast` number, since 244 + 342 + 80 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10763887 + ... + 10764113.

It is an arithmetic number, because the mean of its divisors is an integer number (16992612).

Almost surely, 22443428000 is an apocalyptic number.

2443428000 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 2443428000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4893872256).

2443428000 is an abundant number, since it is smaller than the sum of its proper divisors (7344316512).

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

2443428000 is a wasteful number, since it uses less digits than its factorization.

2443428000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 2443428000 is about 49431.0428779325. The cubic root of 2443428000 is about 1346.8932675354.

The spelling of 2443428000 in words is "two billion, four hundred forty-three million, four hundred twenty-eight thousand".