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334303132121240 = 235234344811885859
BaseRepresentation
bin100110000000011000000001…
…1011011111111100010011000
31121211200001211001220022121212
41030000300003123333202120
5322304210303310334430
63143000423322522252
7130262414154534632
oct11400600333774230
91554601731808555
10334303132121240
11975791868aa497
12315b222a666388
131146c85b331a69
145c7a50221da52
15289aed1c42b95
hex1300c036ff898

334303132121240 has 128 divisors (see below), whose sum is σ = 803318426380800. Its totient is φ = 124904750530560.

The previous prime is 334303132121137. The next prime is 334303132121249. The reversal of 334303132121240 is 42121231303433.

It is a super-2 number, since 2×3343031321212402 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334303132121197 and 334303132121206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334303132121249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176325431 + ... + 178211289.

It is an arithmetic number, because the mean of its divisors is an integer number (6275925206100).

Almost surely, 2334303132121240 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 334303132121240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401659213190400).

334303132121240 is an abundant number, since it is smaller than the sum of its proper divisors (469015294259560).

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

334303132121240 is a wasteful number, since it uses less digits than its factorization.

334303132121240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890417 (or 1890413 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 334303132121240 its reverse (42121231303433), we get a palindrome (376424363424673).

The spelling of 334303132121240 in words is "three hundred thirty-four trillion, three hundred three billion, one hundred thirty-two million, one hundred twenty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 43 46 86 92 115 172 184 215 230 344 430 460 860 920 989 1720 1978 3956 4481 4945 7912 8962 9890 17924 19780 22405 35848 39560 44810 89620 103063 179240 192683 206126 385366 412252 515315 770732 824504 963415 1030630 1541464 1885859 1926830 2061260 3771718 3853660 4122520 4431709 7543436 7707320 8863418 9429295 15086872 17726836 18858590 22158545 35453672 37717180 43374757 44317090 75434360 81091937 86749514 88634180 162183874 173499028 177268360 216873785 324367748 346998056 405459685 433747570 648735496 810919370 867495140 1621838740 1734990280 1865114551 3243677480 3730229102 7460458204 8450534179 9325572755 14920916408 16901068358 18651145510 33802136716 37302291020 42252670895 67604273432 74604582040 84505341790 169010683580 194362286117 338021367160 363372969697 388724572234 726745939394 777449144468 971811430585 1453491878788 1554898288936 1816864848485 1943622861170 2906983757576 3633729696970 3887245722340 7267459393940 7774491444680 8357578303031 14534918787880 16715156606062 33430313212124 41787891515155 66860626424248 83575783030310 167151566060620 334303132121240