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342211034020 = 22543286310723
BaseRepresentation
bin1001111101011010101…
…11011111101110100100
31012201022021102201201111
410332231113133232210
521101322011042040
6421113134034404
733503210536432
oct4765527375644
91181267381644
10342211034020
11122149230989
12563a5948a04
1326368ca6c0b
14127c521dd52
158d7d341dea
hex4fad5dfba4

342211034020 has 72 divisors (see below), whose sum is σ = 736665705216. Its totient is φ = 133533675072.

The previous prime is 342211033979. The next prime is 342211034023. The reversal of 342211034020 is 20430112243.

It is a junction number, because it is equal to n+sod(n) for n = 342211033982 and 342211034000.

It is not an unprimeable number, because it can be changed into a prime (342211034023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31908379 + ... + 31919101.

It is an arithmetic number, because the mean of its divisors is an integer number (10231468128).

Almost surely, 2342211034020 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 342211034020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368332852608).

342211034020 is an abundant number, since it is smaller than the sum of its proper divisors (394454671196).

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

342211034020 is a wasteful number, since it uses less digits than its factorization.

342211034020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11681 (or 11636 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 342211034020 its reverse (20430112243), we get a palindrome (362641146263).

The spelling of 342211034020 in words is "three hundred forty-two billion, two hundred eleven million, thirty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 860 863 1726 1849 3452 3698 4315 7396 8630 9245 10723 17260 18490 21446 36980 37109 42892 53615 74218 107230 148436 185545 214460 371090 461089 742180 922178 1595687 1844356 2305445 3191374 4610890 6382748 7978435 9221780 9253949 15956870 18507898 19826827 31913740 37015796 39653654 46269745 79307308 92539490 99134135 185078980 198268270 396536540 397919807 795839614 1591679228 1989599035 3979198070 7958396140 17110551701 34221103402 68442206804 85552758505 171105517010 342211034020