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3130965348 = 2237247277409
BaseRepresentation
bin1011101010011110…
…1011110101100100
322002012110112000120
42322213223311210
522403011342343
61234403241540
7140405523600
oct27247536544
98065415016
103130965348
111367391675
127346792b0
133ab87a524
14219b78500
15134d13683
hexba9ebd64

3130965348 has 144 divisors (see below), whose sum is σ = 8731779840. Its totient is φ = 870234624.

The previous prime is 3130965347. The next prime is 3130965359. The reversal of 3130965348 is 8435690313.

It is a super-2 number, since 2×31309653482 = 19605888020753522208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (3130965347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7654968 + ... + 7655376.

It is an arithmetic number, because the mean of its divisors is an integer number (60637360).

Almost surely, 23130965348 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 3130965348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4365889920).

3130965348 is an abundant number, since it is smaller than the sum of its proper divisors (5600814492).

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

3130965348 is a wasteful number, since it uses less digits than its factorization.

3130965348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 3130965348 is about 55955.0296934958. The cubic root of 3130965348 is about 1462.9385595711.

It can be divided in two parts, 3130965 and 348, that added together give a palindrome (3131313).

The spelling of 3130965348 in words is "three billion, one hundred thirty million, nine hundred sixty-five thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 49 84 94 98 141 147 188 196 277 282 294 329 409 554 564 588 658 818 831 987 1108 1227 1316 1636 1662 1939 1974 2303 2454 2863 3324 3878 3948 4606 4908 5726 5817 6909 7756 8589 9212 11452 11634 13019 13573 13818 17178 19223 20041 23268 26038 27146 27636 34356 38446 39057 40082 40719 52076 54292 57669 60123 76892 78114 80164 81438 91133 113293 115338 120246 134561 156228 162876 182266 226586 230676 240492 269122 273399 339879 364532 403683 453172 538244 546798 637931 679758 793051 807366 941927 1093596 1275862 1359516 1586102 1614732 1883854 1913793 2379153 2551724 2825781 3172204 3767708 3827586 4758306 5324771 5551357 5651562 7655172 9516612 10649542 11102714 11303124 15974313 16654071 21299084 22205428 31948626 33308142 37273397 63897252 66616284 74546794 111820191 149093588 223640382 260913779 447280764 521827558 782741337 1043655116 1565482674 3130965348