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3140032532 = 22713173116369
BaseRepresentation
bin1011101100101001…
…0001100000010100
322002211112011212012
42323022101200110
522412322020112
61235325443352
7140545556540
oct27312214024
98084464765
103140032532
111371514a0a
12737710558
133b0703620
1421b058a20
15135a05022
hexbb291814

3140032532 has 96 divisors (see below), whose sum is σ = 7392430080. Its totient is φ = 1131356160.

The previous prime is 3140032529. The next prime is 3140032537. The reversal of 3140032532 is 2352300413.

It is a super-3 number, since 3×31400325323 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3140032498 and 3140032507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3140032537) 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 31 ways as a sum of consecutive naturals, for example, 183644 + ... + 200012.

It is an arithmetic number, because the mean of its divisors is an integer number (77004480).

Almost surely, 23140032532 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 3140032532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3696215040).

3140032532 is an abundant number, since it is smaller than the sum of its proper divisors (4252397548).

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

3140032532 is a wasteful number, since it uses less digits than its factorization.

3140032532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16441 (or 16439 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 3140032532 is about 56035.9931829534. The cubic root of 3140032532 is about 1464.3494076035.

Adding to 3140032532 its reverse (2352300413), we get a palindrome (5492332945).

The spelling of 3140032532 in words is "three billion, one hundred forty million, thirty-two thousand, five hundred thirty-two".

Divisors: 1 2 4 7 13 14 17 26 28 31 34 52 62 68 91 119 124 182 217 221 238 364 403 434 442 476 527 806 868 884 1054 1547 1612 2108 2821 3094 3689 5642 6188 6851 7378 11284 13702 14756 16369 27404 32738 47957 65476 95914 114583 191828 212797 229166 278273 425594 458332 507439 556546 851188 1014878 1113092 1489579 1947911 2029756 2979158 3552073 3617549 3895822 5958316 6596707 7104146 7235098 7791644 8626463 13193414 14208292 14470196 17252926 25322843 26386828 34505852 46176949 50645686 60385241 92353898 101291372 112144019 120770482 184707796 224288038 241540964 448576076 785008133 1570016266 3140032532