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3129349806 = 2321129659827
BaseRepresentation
bin1011101010000110…
…0001011010101110
322002002102102220200
42322201201122232
522402103143211
61234304454330
7140356014552
oct27241413256
98062372820
103129349806
111366488910
1273401a3a6
133ab43309b
14219877862
15134ae4b56
hexba8616ae

3129349806 has 96 divisors (see below), whose sum is σ = 7672579200. Its totient is φ = 913093440.

The previous prime is 3129349787. The next prime is 3129349841. The reversal of 3129349806 is 6089439213.

It is a happy number.

3129349806 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3783565 + ... + 3784391.

It is an arithmetic number, because the mean of its divisors is an integer number (79922700).

Almost surely, 23129349806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3129349806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3836289600).

3129349806 is an abundant number, since it is smaller than the sum of its proper divisors (4543229394).

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

3129349806 is a wasteful number, since it uses less digits than its factorization.

3129349806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 3129349806 is about 55940.5917558976. The cubic root of 3129349806 is about 1462.6868964744.

The spelling of 3129349806 in words is "three billion, one hundred twenty-nine million, three hundred forty-nine thousand, eight hundred six".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 174 198 261 319 522 638 659 827 957 1318 1654 1914 1977 2481 2871 3954 4962 5742 5931 7249 7443 9097 11862 14498 14886 18194 19111 21747 23983 27291 38222 43494 47966 54582 57333 65241 71949 81873 114666 130482 143898 163746 171999 210221 215847 263813 343998 420442 431694 527626 544993 630663 791439 1089986 1261326 1582878 1634979 1891989 2374317 3269958 3783978 4748634 4904937 5994923 9809874 11989846 15804797 17984769 31609594 35969538 47414391 53954307 94828782 107908614 142243173 173852767 284486346 347705534 521558301 1043116602 1564674903 3129349806