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343667380 = 225722379193
BaseRepresentation
bin10100011110111…
…111001010110100
3212221200010000111
4110132333022310
51200434324010
654033552404
711342060500
oct2436771264
9787603014
10343667380
11166a9a431
1297115704
13562799a4
14338dd300
152028758a
hex147bf2b4

343667380 has 144 divisors (see below), whose sum is σ = 891717120. Its totient is φ = 110702592.

The previous prime is 343667327. The next prime is 343667437. The reversal of 343667380 is 83766343.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1780564 + ... + 1780756.

It is an arithmetic number, because the mean of its divisors is an integer number (6192480).

Almost surely, 2343667380 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 343667380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445858560).

343667380 is an abundant number, since it is smaller than the sum of its proper divisors (548049740).

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

343667380 is a wasteful number, since it uses less digits than its factorization.

343667380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 40.

The square root of 343667380 is about 18538.2679881374. The cubic root of 343667380 is about 700.4537058664.

The spelling of 343667380 in words is "three hundred forty-three million, six hundred sixty-seven thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 49 70 79 92 98 115 140 158 161 193 196 230 245 316 322 386 395 460 490 553 644 772 790 805 965 980 1106 1127 1351 1580 1610 1817 1930 2212 2254 2702 2765 3220 3634 3860 3871 4439 4508 5404 5530 5635 6755 7268 7742 8878 9085 9457 11060 11270 12719 13510 15247 15484 17756 18170 18914 19355 22195 22540 25438 27020 30494 31073 36340 37828 38710 44390 47285 50876 60988 62146 63595 76235 77420 88780 89033 94570 106729 124292 127190 152470 155365 178066 189140 213458 217511 254380 304940 310730 350681 356132 426916 435022 445165 533645 621460 701362 747103 870044 890330 1067290 1087555 1402724 1494206 1753405 1780660 2134580 2175110 2454767 2988412 3506810 3735515 4350220 4909534 7013620 7471030 9819068 12273835 14942060 17183369 24547670 34366738 49095340 68733476 85916845 171833690 343667380