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534338064 = 2432131983181
BaseRepresentation
bin11111110110010…
…101101000010000
31101020110012000200
4133312111220100
52043242304224
6125004415200
716145540631
oct3766255020
91336405020
10534338064
11254690107
1212ab47500
1386918790
1450d73888
1531d9c5c9
hex1fd95a10

534338064 has 240 divisors, whose sum is σ = 1725097920. Its totient is φ = 153031680.

The previous prime is 534338059. The next prime is 534338071. The reversal of 534338064 is 460833435.

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, 2952054 + ... + 2952234.

It is an arithmetic number, because the mean of its divisors is an integer number (7187908).

Almost surely, 2534338064 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 534338064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862548960).

534338064 is an abundant number, since it is smaller than the sum of its proper divisors (1190759856).

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

534338064 is a wasteful number, since it uses less digits than its factorization.

534338064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 534338064 is about 23115.7535892733. The cubic root of 534338064 is about 811.4691945306.

The spelling of 534338064 in words is "five hundred thirty-four million, three hundred thirty-eight thousand, sixty-four".