Search a number
-
+
3430343120660 = 22516325136711423
BaseRepresentation
bin110001111010110000011…
…000100001011100010100
3110010221022111202212212122
4301322300120201130110
5422200320314330120
611143513342035112
7502556046266531
oct61726030413424
913127274685778
103430343120660
1111028892987a5
124749a6b78a98
131bb63164b1c1
14bc05acddd88
155e36ee41a25
hex31eb0621714

3430343120660 has 96 divisors (see below), whose sum is σ = 7297257848832. Its totient is φ = 1354466448000.

The previous prime is 3430343120657. The next prime is 3430343120707. The reversal of 3430343120660 is 660213430343.

It is a self number, because there is not a number n which added to its sum of digits gives 3430343120660.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 300295709 + ... + 300307131.

It is an arithmetic number, because the mean of its divisors is an integer number (76013102592).

Almost surely, 23430343120660 is an apocalyptic number.

It is an amenable number.

3430343120660 is an abundant number, since it is smaller than the sum of its proper divisors (3866914728172).

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

3430343120660 is a wasteful number, since it uses less digits than its factorization.

3430343120660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12213 (or 12211 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 35.

The spelling of 3430343120660 in words is "three trillion, four hundred thirty billion, three hundred forty-three million, one hundred twenty thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 163 251 326 367 502 652 734 815 1004 1255 1468 1630 1835 2510 3260 3670 5020 7340 11423 22846 40913 45692 57115 59821 81826 92117 114230 119642 163652 184234 204565 228460 239284 299105 368468 409130 460585 598210 818260 921170 1196420 1842340 1861949 2867173 3723898 4192241 5734346 7447796 8384482 9309745 11468692 14335865 15015071 16768964 18619490 20961205 28671730 30030142 37238980 41922410 57343460 60060284 75075355 83844820 150150710 300301420 467349199 683335283 934698398 1052252491 1366670566 1869396796 2104504982 2336745995 2733341132 3416676415 4209009964 4673491990 5261262455 6833352830 9346983980 10522524910 13666705660 21045049820 171517156033 343034312066 686068624132 857585780165 1715171560330 3430343120660