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343666820 = 225729471801
BaseRepresentation
bin10100011110111…
…111000010000100
3212221200002020202
4110132333002010
51200434314240
654033550032
711342056040
oct2436770204
9787602222
10343666820
11166a99a72
1297115318
1356279663
14338dd020
1520287315
hex147bf084

343666820 has 96 divisors (see below), whose sum is σ = 871879680. Its totient is φ = 111283200.

The previous prime is 343666819. The next prime is 343666847. The reversal of 343666820 is 28666343.

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, 189920 + ... + 191720.

It is an arithmetic number, because the mean of its divisors is an integer number (9082080).

Almost surely, 2343666820 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 343666820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435939840).

343666820 is an abundant number, since it is smaller than the sum of its proper divisors (528212860).

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

343666820 is a wasteful number, since it uses less digits than its factorization.

343666820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1893 (or 1891 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 38.

The square root of 343666820 is about 18538.2528842391. The cubic root of 343666820 is about 700.4533254072.

The spelling of 343666820 in words is "three hundred forty-three million, six hundred sixty-six thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 47 58 70 94 116 140 145 188 203 235 290 329 406 470 580 658 812 940 1015 1316 1363 1645 1801 2030 2726 3290 3602 4060 5452 6580 6815 7204 9005 9541 12607 13630 18010 19082 25214 27260 36020 38164 47705 50428 52229 63035 84647 95410 104458 126070 169294 190820 208916 252140 261145 338588 365603 423235 522290 592529 731206 846470 1044580 1185058 1462412 1692940 1828015 2370116 2454763 2962645 3656030 4909526 5925290 7312060 9819052 11850580 12273815 17183341 24547630 34366682 49095260 68733364 85916705 171833410 343666820