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534432 = 25319293
BaseRepresentation
bin10000010011110100000
31000011002210
42002132200
5114100212
615242120
74354053
oct2023640
91004083
10534432
11335588
12219340
13159342
14dca9a
15a853c
hex827a0

534432 has 48 divisors (see below), whose sum is σ = 1481760. Its totient is φ = 168192.

The previous prime is 534431. The next prime is 534439. The reversal of 534432 is 234435.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a plaindrome in base 11.

It is a zygodrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 534399 and 534408.

It is not an unprimeable number, because it can be changed into a prime (534431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1678 + ... + 1970.

It is an arithmetic number, because the mean of its divisors is an integer number (30870).

2534432 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 534432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740880).

534432 is an abundant number, since it is smaller than the sum of its proper divisors (947328).

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

534432 is a wasteful number, since it uses less digits than its factorization.

534432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 317 counting only the distinct ones).

The product of its digits is 1440, while the sum is 21.

The square root of 534432 is about 731.0485619984. The cubic root of 534432 is about 81.1516743519.

Adding to 534432 its reverse (234435), we get a palindrome (768867).

The spelling of 534432 in words is "five hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 293 304 456 586 608 879 912 1172 1758 1824 2344 3516 4688 5567 7032 9376 11134 14064 16701 22268 28128 33402 44536 66804 89072 133608 178144 267216 534432