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3129646940 = 2257192921399
BaseRepresentation
bin1011101010001010…
…1001111101011100
322002002222112111122
42322202221331130
522402142200230
61234315110112
7140361363050
oct27242517534
98062875448
103129646940
111366671082
12734142338
133ab5083c4
14219913c60
15134b52be5
hexba8a9f5c

3129646940 has 144 divisors (see below), whose sum is σ = 8194368000. Its totient is φ = 980792064.

The previous prime is 3129646889. The next prime is 3129646987. The reversal of 3129646940 is 496469213.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3129646891 and 3129646900.

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, 2236361 + ... + 2237759.

Almost surely, 23129646940 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 3129646940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4097184000).

3129646940 is an abundant number, since it is smaller than the sum of its proper divisors (5064721060).

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

3129646940 is a wasteful number, since it uses less digits than its factorization.

3129646940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 44.

The square root of 3129646940 is about 55943.2474924365. The cubic root of 3129646940 is about 1462.7331893979.

The spelling of 3129646940 in words is "three billion, one hundred twenty-nine million, six hundred forty-six thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 29 35 38 58 70 76 95 116 133 140 145 190 203 266 290 380 406 532 551 580 665 812 841 1015 1102 1330 1399 1682 2030 2204 2660 2755 2798 3364 3857 4060 4205 5510 5596 5887 6995 7714 8410 9793 11020 11774 13990 15428 15979 16820 19285 19586 23548 26581 27980 29435 31958 38570 39172 40571 48965 53162 58870 63916 77140 79895 81142 97930 106324 111853 117740 132905 159790 162284 186067 195860 202855 223706 265810 283997 319580 372134 405710 447412 531620 559265 567994 744268 770849 811420 930335 1118530 1135988 1176559 1419985 1541698 1860670 2237060 2353118 2839970 3083396 3721340 3854245 4706236 5395943 5679940 5882795 7708490 8235913 10791886 11765590 15416980 16471826 21583772 22354621 23531180 26979715 32943652 41179565 44709242 53959430 82359130 89418484 107918860 111773105 156482347 164718260 223546210 312964694 447092420 625929388 782411735 1564823470 3129646940