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343444223220 = 223572641182243
BaseRepresentation
bin1001111111101101101…
…11101111010011110100
31012211111012220020021120
410333312313233103310
521111333210120340
6421435345343540
733545603505300
oct4776667572364
91184435806246
10343444223220
1112272134620a
125668a937bb0
132650461bb77
14128a0d0cd00
158e017364d0
hex4ff6def4f4

343444223220 has 144 divisors (see below), whose sum is σ = 1120398205248. Its totient is φ = 78378639360.

The previous prime is 343444223219. The next prime is 343444223233. The reversal of 343444223220 is 22322444343.

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, 1793419 + ... + 1975661.

It is an arithmetic number, because the mean of its divisors is an integer number (7780543092).

Almost surely, 2343444223220 is an apocalyptic number.

343444223220 is a gapful number since it is divisible by the number (30) 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 343444223220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560199102624).

343444223220 is an abundant number, since it is smaller than the sum of its proper divisors (776953982028).

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

343444223220 is a wasteful number, since it uses less digits than its factorization.

343444223220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182910 (or 182901 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 33.

Adding to 343444223220 its reverse (22322444343), we get a palindrome (365766667563).

The spelling of 343444223220 in words is "three hundred forty-three billion, four hundred forty-four million, two hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 641 735 980 1282 1470 1923 2564 2940 3205 3846 4487 6410 7692 8974 9615 12820 13461 17948 19230 22435 26922 31409 38460 44870 53844 62818 67305 89740 94227 125636 134610 157045 182243 188454 269220 314090 364486 376908 471135 546729 628180 728972 911215 942270 1093458 1275701 1822430 1884540 2186916 2551402 2733645 3644860 3827103 5102804 5467290 6378505 7654206 8929907 10934580 12757010 15308412 17859814 19135515 25514020 26789721 35719628 38271030 44649535 53579442 76542060 89299070 107158884 116817763 133948605 178598140 233635526 267897210 350453289 467271052 535794420 584088815 700906578 817724341 1168177630 1401813156 1635448682 1752266445 2336355260 2453173023 3270897364 3504532890 4088621705 4906346046 5724070387 7009065780 8177243410 9812692092 11448140774 12265865115 16354486820 17172211161 22896281548 24531730230 28620351935 34344422322 49063460460 57240703870 68688844644 85861055805 114481407740 171722111610 343444223220