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534065004 = 2232116122109
BaseRepresentation
bin11111110101010…
…010111101101100
31101012221022110100
4133311102331230
52043210040004
6124554511100
716143322554
oct3765227554
91335838410
10534065004
11254513a40
1212aa35490
13868513c5
1450d02164
1531d46739
hex1fd52f6c

534065004 has 72 divisors (see below), whose sum is σ = 1496935440. Its totient is φ = 159177600.

The previous prime is 534065003. The next prime is 534065009. The reversal of 534065004 is 400560435.

534065004 is a `hidden beast` number, since 5 + 3 + 4 + 0 + 650 + 0 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (534065003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13102 + ... + 35210.

It is an arithmetic number, because the mean of its divisors is an integer number (20790770).

Almost surely, 2534065004 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 534065004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748467720).

534065004 is an abundant number, since it is smaller than the sum of its proper divisors (962870436).

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

534065004 is a wasteful number, since it uses less digits than its factorization.

534065004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22191 (or 22186 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 534065004 is about 23109.8464728782. The cubic root of 534065004 is about 811.3309440183.

The spelling of 534065004 in words is "five hundred thirty-four million, sixty-five thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 61 66 99 122 132 183 198 244 366 396 549 671 732 1098 1342 2013 2196 2684 4026 6039 8052 12078 22109 24156 44218 66327 88436 132654 198981 243199 265308 397962 486398 729597 795924 972796 1348649 1459194 2188791 2697298 2918388 4045947 4377582 5394596 8091894 8755164 12137841 14835139 16183788 24275682 29670278 44505417 48551364 59340556 89010834 133516251 178021668 267032502 534065004