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534093420 = 22357171931127
BaseRepresentation
bin11111110101011…
…001111001101100
31101012222202102210
4133311121321230
52043211442140
6124555250420
716143501450
oct3765317154
91335882383
10534093420
11254533323
1212aa49a10
1386861313
1450d0c660
1531d4ed80
hex1fd59e6c

534093420 has 384 divisors, whose sum is σ = 1981808640. Its totient is φ = 104509440.

The previous prime is 534093407. The next prime is 534093421. The reversal of 534093420 is 24390435.

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

It is not an unprimeable number, because it can be changed into a prime (534093421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4205397 + ... + 4205523.

It is an arithmetic number, because the mean of its divisors is an integer number (5160960).

Almost surely, 2534093420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 534093420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990904320).

534093420 is an abundant number, since it is smaller than the sum of its proper divisors (1447715220).

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

534093420 is a wasteful number, since it uses less digits than its factorization.

534093420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 534093420 is about 23110.4612675732. The cubic root of 534093420 is about 811.3453332600.

The spelling of 534093420 in words is "five hundred thirty-four million, ninety-three thousand, four hundred twenty".