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345013110 = 2325132312821
BaseRepresentation
bin10100100100000…
…111101101110110
3220001012111000100
4110210013231312
51201310404420
654122454530
711356364061
oct2444075566
9801174010
10345013110
11167829502
1297664446
135662b390
1433b6d8d8
1520451190
hex14907b76

345013110 has 96 divisors (see below), whose sum is σ = 1008116928. Its totient is φ = 81227520.

The previous prime is 345013103. The next prime is 345013121. The reversal of 345013110 is 11310543.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 20500 + ... + 33320.

It is an arithmetic number, because the mean of its divisors is an integer number (10501218).

Almost surely, 2345013110 is an apocalyptic number.

345013110 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 345013110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504058464).

345013110 is an abundant number, since it is smaller than the sum of its proper divisors (663103818).

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

345013110 is a wasteful number, since it uses less digits than its factorization.

345013110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12870 (or 12867 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 345013110 is about 18574.5285269909. The cubic root of 345013110 is about 701.3667921043.

Adding to 345013110 its reverse (11310543), we get a palindrome (356323653).

The spelling of 345013110 in words is "three hundred forty-five million, thirteen thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 23 26 30 39 45 46 65 69 78 90 115 117 130 138 195 207 230 234 299 345 390 414 585 598 690 897 1035 1170 1495 1794 2070 2691 2990 4485 5382 8970 12821 13455 25642 26910 38463 64105 76926 115389 128210 166673 192315 230778 294883 333346 384630 500019 576945 589766 833365 884649 1000038 1153890 1474415 1500057 1666730 1769298 2500095 2653947 2948830 3000114 3833479 4423245 5000190 5307894 7500285 7666958 8846490 11500437 13269735 15000570 19167395 23000874 26539470 34501311 38334790 57502185 69002622 115004370 172506555 345013110