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344304001223244 = 2232191081614653881
BaseRepresentation
bin100111001001001001000010…
…1101100000000101001001100
31200011002010210211111112021100
41032102102011230000221030
5330112034043303120434
63220135024035503100
7132344100055362306
oct11622220554005114
91604063724445240
10344304001223244
119a784563781727
1232748509457a90
1311a1696055600a
14610458c944976
1529c120d10c699
hex1392485b00a4c

344304001223244 has 72 divisors (see below), whose sum is σ = 916139196488880. Its totient is φ = 108726550732800.

The previous prime is 344304001223243. The next prime is 344304001223267. The reversal of 344304001223244 is 442322100403443.

344304001223244 is a `hidden beast` number, since 3 + 4 + 4 + 3 + 0 + 400 + 1 + 2 + 2 + 3 + 244 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 344304001223199 and 344304001223208.

It is not an unprimeable number, because it can be changed into a prime (344304001223243) 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, 71655184 + ... + 76309064.

It is an arithmetic number, because the mean of its divisors is an integer number (12724155506790).

Almost surely, 2344304001223244 is an apocalyptic number.

It is an amenable number.

344304001223244 is an abundant number, since it is smaller than the sum of its proper divisors (571835195265636).

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

344304001223244 is a wasteful number, since it uses less digits than its factorization.

344304001223244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4762071 (or 4762066 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 344304001223244 its reverse (442322100403443), we get a palindrome (786626101626687).

The spelling of 344304001223244 in words is "three hundred forty-four trillion, three hundred four billion, one million, two hundred twenty-three thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 108161 216322 324483 432644 648966 973449 1297932 1946898 2055059 3893796 4110118 4653881 6165177 8220236 9307762 12330354 13961643 18495531 18615524 24660708 27923286 36991062 41884929 55846572 73982124 83769858 88423739 167539716 176847478 265271217 353694956 530542434 795813651 1061084868 1591627302 3183254604 503368422841 1006736845682 1510105268523 2013473691364 3020210537046 4530315805569 6040421074092 9060631611138 9564000033979 18121263222276 19128000067958 28692000101937 38256000135916 57384000203874 86076000305811 114768000407748 172152000611622 344304001223244