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534136320 = 2932597239
BaseRepresentation
bin11111110101100…
…100011000000000
31101020001221021200
4133311210120000
52043214330240
6125000221200
716144040514
oct3765443000
91336057250
10534136320
11254562583
1212aa6a800
13868779c3
1450d20144
1531d5c930
hex1fd64600

534136320 has 240 divisors, whose sum is σ = 1876754880. Its totient is φ = 140378112.

The previous prime is 534136271. The next prime is 534136331. The reversal of 534136320 is 23631435.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2234761 + ... + 2234999.

It is an arithmetic number, because the mean of its divisors is an integer number (7819812).

Almost surely, 2534136320 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 534136320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938377440).

534136320 is an abundant number, since it is smaller than the sum of its proper divisors (1342618560).

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

534136320 is a wasteful number, since it uses less digits than its factorization.

534136320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 534136320 is about 23111.3894000339. The cubic root of 534136320 is about 811.3670559160.

Adding to 534136320 its reverse (23631435), we get a palindrome (557767755).

The spelling of 534136320 in words is "five hundred thirty-four million, one hundred thirty-six thousand, three hundred twenty".