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134524332 = 2232171923503
BaseRepresentation
bin10000000010010…
…10110110101100
3100101010112200200
420001022312230
5233414234312
621203153500
73222303135
oct1001126654
9311115620
10134524332
1169a32138
1239075890
1321b40bc7
1413c1ac8c
15bc240dc
hex804adac

134524332 has 144 divisors (see below), whose sum is σ = 396264960. Its totient is φ = 38168064.

The previous prime is 134524331. The next prime is 134524343. The reversal of 134524332 is 233425431.

134524332 is a `hidden beast` number, since 134 + 524 + 3 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 134524296 and 134524305.

It is not an unprimeable number, because it can be changed into a prime (134524331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 267193 + ... + 267695.

It is an arithmetic number, because the mean of its divisors is an integer number (2751840).

Almost surely, 2134524332 is an apocalyptic number.

134524332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134524332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198132480).

134524332 is an abundant number, since it is smaller than the sum of its proper divisors (261740628).

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

134524332 is a wasteful number, since it uses less digits than its factorization.

134524332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 567 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 134524332 is about 11598.4624843123. The cubic root of 134524332 is about 512.3895706550.

Adding to 134524332 its reverse (233425431), we get a palindrome (367949763).

The spelling of 134524332 in words is "one hundred thirty-four million, five hundred twenty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 19 23 34 36 38 46 51 57 68 69 76 92 102 114 138 153 171 204 207 228 276 306 323 342 391 414 437 503 612 646 684 782 828 874 969 1006 1173 1292 1311 1509 1564 1748 1938 2012 2346 2622 2907 3018 3519 3876 3933 4527 4692 5244 5814 6036 7038 7429 7866 8551 9054 9557 11569 11628 14076 14858 15732 17102 18108 19114 22287 23138 25653 28671 29716 34204 34707 38228 44574 46276 51306 57342 66861 69414 76959 86013 89148 102612 104121 114684 133722 138828 153918 162469 172026 196673 208242 219811 267444 307836 324938 344052 393346 416484 439622 487407 590019 649876 659433 786692 879244 974814 1180038 1318866 1462221 1770057 1949628 1978299 2360076 2637732 2924442 3540114 3736787 3956598 5848884 7080228 7473574 7913196 11210361 14947148 22420722 33631083 44841444 67262166 134524332