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534468132 = 223411213633
BaseRepresentation
bin11111110110110…
…101011000100100
31101020200210110000
4133312311120210
52043310440012
6125011301300
716146622062
oct3766653044
91336623400
10534468132
11254769900
1212abaa830
1386962a43
1450da9032
1531dc5ddc
hex1fdb5624

534468132 has 90 divisors (see below), whose sum is σ = 1535883734. Its totient is φ = 161948160.

The previous prime is 534468107. The next prime is 534468167. The reversal of 534468132 is 231864435.

534468132 is a `hidden beast` number, since 534 + 46 + 81 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 491774976 + 42693156 = 22176^2 + 6534^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 32388 + ... + 46020.

Almost surely, 2534468132 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 534468132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767941867).

534468132 is an abundant number, since it is smaller than the sum of its proper divisors (1001415602).

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

534468132 is a wasteful number, since it uses less digits than its factorization.

534468132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13671 (or 13649 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 534468132 is about 23118.5668240918. The cubic root of 534468132 is about 811.5350315100.

The spelling of 534468132 in words is "five hundred thirty-four million, four hundred sixty-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 162 198 242 297 324 363 396 484 594 726 891 1089 1188 1452 1782 2178 3267 3564 4356 6534 9801 13068 13633 19602 27266 39204 40899 54532 81798 122697 149963 163596 245394 299926 368091 449889 490788 599852 736182 899778 1104273 1349667 1472364 1649593 1799556 2208546 2699334 3299186 4049001 4417092 4948779 5398668 6598372 8098002 9897558 12147003 14846337 16196004 19795116 24294006 29692674 44539011 48588012 59385348 89078022 133617033 178156044 267234066 534468132