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534064464 = 2432192953127
BaseRepresentation
bin11111110101010…
…010110101010000
31101012221021201100
4133311102311100
52043210030324
6124554504400
716143321153
oct3765226520
91335837640
10534064464
1125451359a
1212aa35100
138685109b
1450d01c9a
1531d464c9
hex1fd52d50

534064464 has 240 divisors, whose sum is σ = 1671321600. Its totient is φ = 158505984.

The previous prime is 534064441. The next prime is 534064471. The reversal of 534064464 is 464460435.

534064464 is a `hidden beast` number, since 5 + 3 + 4 + 0 + 644 + 6 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4205169 + ... + 4205295.

It is an arithmetic number, because the mean of its divisors is an integer number (6963840).

Almost surely, 2534064464 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 534064464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835660800).

534064464 is an abundant number, since it is smaller than the sum of its proper divisors (1137257136).

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

534064464 is a wasteful number, since it uses less digits than its factorization.

534064464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 534064464 is about 23109.8347895436. The cubic root of 534064464 is about 811.3306705692.

The spelling of 534064464 in words is "five hundred thirty-four million, sixty-four thousand, four hundred sixty-four".