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3252434112 = 26326192567
BaseRepresentation
bin1100000111011100…
…0011010011000000
322101200000202211200
43001313003103000
523130110342422
61254422541200
7143412143124
oct30167032300
98350022750
103252434112
111419a06984
12769297800
133caa99b35
1422bd57584
151408092ac
hexc1dc34c0

3252434112 has 84 divisors (see below), whose sum is σ = 9475445616. Its totient is φ = 1066360320.

The previous prime is 3252434111. The next prime is 3252434147. The reversal of 3252434112 is 2114342523.

3252434112 is a `hidden beast` number, since 3 + 2 + 5 + 243 + 411 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (3252434111) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 11148 + ... + 81419.

It is an arithmetic number, because the mean of its divisors is an integer number (112802924).

Almost surely, 23252434112 is an apocalyptic number.

3252434112 is a gapful number since it is divisible by the number (32) 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 3252434112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4737722808).

3252434112 is an abundant number, since it is smaller than the sum of its proper divisors (6223011504).

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

3252434112 is a wasteful number, since it uses less digits than its factorization.

3252434112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92646 (or 92633 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 3252434112 is about 57030.1158336541. The cubic root of 3252434112 is about 1481.6177392151.

Adding to 3252434112 its reverse (2114342523), we get a palindrome (5366776635).

The spelling of 3252434112 in words is "three billion, two hundred fifty-two million, four hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 144 183 192 244 288 366 488 549 576 732 976 1098 1464 1952 2196 2928 3904 4392 5856 8784 11712 17568 35136 92567 185134 277701 370268 555402 740536 833103 1110804 1481072 1666206 2221608 2962144 3332412 4443216 5646587 5924288 6664824 8886432 11293174 13329648 16939761 17772864 22586348 26659296 33879522 45172696 50819283 53318592 67759044 90345392 101638566 135518088 180690784 203277132 271036176 361381568 406554264 542072352 813108528 1084144704 1626217056 3252434112