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534327840 = 25385509
BaseRepresentation
bin11111110110010…
…011001000100000
31101020102200000000
4133312103020200
52043241442330
6125004300000
716145466054
oct3766231040
91336380000
10534327840
11254683462
1212ab41600
1386913c27
1450d6dc64
1531d99560
hex1fd93220

534327840 has 216 divisors, whose sum is σ = 1897147980. Its totient is φ = 142207488.

The previous prime is 534327839. The next prime is 534327869. The reversal of 534327840 is 48723435.

It is a happy number.

534327840 is a `hidden beast` number, since 5 + 343 + 278 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 529184016 + 5143824 = 23004^2 + 2268^2 .

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 534327795 and 534327804.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1049506 + ... + 1050014.

Almost surely, 2534327840 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 534327840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948573990).

534327840 is an abundant number, since it is smaller than the sum of its proper divisors (1362820140).

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

534327840 is an frugal number, since it uses more digits than its factorization.

534327840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 534327840 is about 23115.5324403311. The cubic root of 534327840 is about 811.4640189595.

The spelling of 534327840 in words is "five hundred thirty-four million, three hundred twenty-seven thousand, eight hundred forty".