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344041330220 = 225726385710903
BaseRepresentation
bin1010000000110100111…
…01100001011000101100
31012220000211110102002122
411000122131201120230
521114044040031340
6422014515412112
733566444025110
oct5003235413054
91186024412078
10344041330220
111229a83a8575
12568168b4038
132659b243a13
141291a341740
158e38d81db5
hex501a76162c

344041330220 has 96 divisors (see below), whose sum is σ = 829881980928. Its totient is φ = 117360640512.

The previous prime is 344041330207. The next prime is 344041330223. The reversal of 344041330220 is 22033140443.

It is a self number, because there is not a number n which added to its sum of digits gives 344041330220.

It is not an unprimeable number, because it can be changed into a prime (344041330223) 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, 31549289 + ... + 31560191.

It is an arithmetic number, because the mean of its divisors is an integer number (8644603968).

Almost surely, 2344041330220 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 344041330220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414940990464).

344041330220 is an abundant number, since it is smaller than the sum of its proper divisors (485840650708).

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

344041330220 is a wasteful number, since it uses less digits than its factorization.

344041330220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12039 (or 12037 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 344041330220 its reverse (22033140443), we get a palindrome (366074470663).

The spelling of 344041330220 in words is "three hundred forty-four billion, forty-one million, three hundred thirty thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 263 526 857 1052 1315 1714 1841 2630 3428 3682 4285 5260 5999 7364 8570 9205 10903 11998 17140 18410 21806 23996 29995 36820 43612 54515 59990 76321 109030 119980 152642 218060 225391 305284 381605 450782 763210 901564 1126955 1526420 1577737 2253910 2867489 3155474 4507820 5734978 6310948 7888685 9343871 11469956 14337445 15777370 18687742 20072423 28674890 31554740 37375484 40144846 46719355 57349780 65407097 80289692 93438710 100362115 130814194 186877420 200724230 261628388 327035485 401448460 654070970 1308141940 2457438073 4914876146 9829752292 12287190365 17202066511 24574380730 34404133022 49148761460 68808266044 86010332555 172020665110 344041330220