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345313210230 = 232582910974219
BaseRepresentation
bin1010000011001100100…
…01010110111101110110
31020000022110201121110200
411001212101112331312
521124200140211410
6422345032301330
733643116600102
oct5014621267566
91200273647420
10345313210230
111234a033987a
1256b10841846
13267418b4641
14129db222902
158eb086a3c0
hex5066456f76

345313210230 has 96 divisors (see below), whose sum is σ = 899930023200. Its totient is φ = 91866825216.

The previous prime is 345313210223. The next prime is 345313210247. The reversal of 345313210230 is 32012313543.

345313210230 is a `hidden beast` number, since 345 + 313 + 2 + 1 + 0 + 2 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 345313210194 and 345313210203.

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, 81845061 + ... + 81849279.

It is an arithmetic number, because the mean of its divisors is an integer number (9374271075).

Almost surely, 2345313210230 is an apocalyptic number.

345313210230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

345313210230 is an abundant number, since it is smaller than the sum of its proper divisors (554616812970).

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

345313210230 is a wasteful number, since it uses less digits than its factorization.

345313210230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6158 (or 6155 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 345313210230 its reverse (32012313543), we get a palindrome (377325523773).

The spelling of 345313210230 in words is "three hundred forty-five billion, three hundred thirteen million, two hundred ten thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 829 1097 1658 2194 2487 3291 4145 4219 4974 5485 6582 7461 8290 8438 9873 10970 12435 12657 14922 16455 19746 21095 24870 25314 32910 37305 37971 42190 49365 63285 74610 75942 98730 126570 189855 379710 909413 1818826 2728239 3497551 4547065 4628243 5456478 6995102 8184717 9094130 9256486 10492653 13641195 13884729 16369434 17487755 20985306 23141215 27282390 27769458 31477959 34975510 40923585 41654187 46282430 52463265 62955918 69423645 81847170 83308374 104926530 138847290 157389795 208270935 314779590 416541870 3836813447 7673626894 11510440341 19184067235 23020880682 34531321023 38368134470 57552201705 69062642046 115104403410 172656605115 345313210230