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1345650460 = 2257112921039
BaseRepresentation
bin101000000110100…
…1111111100011100
310110210002010101221
41100031033330130
510223441303320
6341305543124
745226561120
oct12015177434
93423063357
101345650460
11630648120
123167a4aa4
13185a2c69b
14caa05580
157d20b3aa
hex5034ff1c

1345650460 has 144 divisors (see below), whose sum is σ = 3652346880. Its totient is φ = 404570880.

The previous prime is 1345650451. The next prime is 1345650479. The reversal of 1345650460 is 640565431.

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, 1294621 + ... + 1295659.

It is an arithmetic number, because the mean of its divisors is an integer number (25363520).

Almost surely, 21345650460 is an apocalyptic number.

1345650460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1345650460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1826173440).

1345650460 is an abundant number, since it is smaller than the sum of its proper divisors (2306696420).

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

1345650460 is a wasteful number, since it uses less digits than its factorization.

1345650460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The square root of 1345650460 is about 36683.1086468963. The cubic root of 1345650460 is about 1104.0212212804.

The spelling of 1345650460 in words is "one billion, three hundred forty-five million, six hundred fifty thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 29 35 44 55 58 70 77 110 116 140 145 154 203 220 290 308 319 385 406 580 638 770 812 841 1015 1039 1276 1540 1595 1682 2030 2078 2233 3190 3364 4060 4156 4205 4466 5195 5887 6380 7273 8410 8932 9251 10390 11165 11429 11774 14546 16820 18502 20780 22330 22858 23548 29092 29435 30131 36365 37004 44660 45716 46255 57145 58870 60262 64757 72730 80003 92510 114290 117740 120524 129514 145460 150655 160006 185020 210917 228580 259028 301310 320012 323785 331441 400015 421834 602620 647570 662882 800030 843668 873799 1054585 1295140 1325764 1600060 1657205 1747598 2109170 2320087 3314410 3495196 4218340 4368995 4640174 6116593 6628820 8737990 9280348 9611789 11600435 12233186 17475980 19223578 23200870 24466372 30582965 38447156 46401740 48058945 61165930 67282523 96117890 122331860 134565046 192235780 269130092 336412615 672825230 1345650460