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344232324200340 = 223254344474460491
BaseRepresentation
bin100111001000100111101010…
…1011001110111011110010100
31200010211021210112112111110100
41032101033111121313132110
5330104400244443402330
63220042051400254100
7132335651615626122
oct11621172531673624
91603737715474410
10344232324200340
119a757121990514
1232736644a71330
1311a0cc79848624
146100d0d308912
1529be415686060
hex13913d5677794

344232324200340 has 72 divisors (see below), whose sum is σ = 1068454438859808. Its totient is φ = 89660512347840.

The previous prime is 344232324200243. The next prime is 344232324200357. The reversal of 344232324200340 is 43002423232443.

344232324200340 is a `hidden beast` number, since 3 + 4 + 42 + 3 + 232 + 42 + 0 + 0 + 340 = 666.

It is a super-2 number, since 2×3442323242003402 (a number of 30 digits) contains 22 as substring.

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 = 344232324200295 and 344232324200304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22237222506 + ... + 22237237985.

It is an arithmetic number, because the mean of its divisors is an integer number (14839644984164).

Almost surely, 2344232324200340 is an apocalyptic number.

344232324200340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

344232324200340 is an abundant number, since it is smaller than the sum of its proper divisors (724222114659468).

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

344232324200340 is a wasteful number, since it uses less digits than its factorization.

344232324200340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44474460549 (or 44474460544 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

Adding to 344232324200340 its reverse (43002423232443), we get a palindrome (387234747432783).

The spelling of 344232324200340 in words is "three hundred forty-four trillion, two hundred thirty-two billion, three hundred twenty-four million, two hundred thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 645 774 860 1290 1548 1935 2580 3870 7740 44474460491 88948920982 133423381473 177897841964 222372302455 266846762946 400270144419 444744604910 533693525892 667116907365 800540288838 889489209820 1334233814730 1601080577676 1912401801113 2001350722095 2668467629460 3824803602226 4002701444190 5737205403339 7649607204452 8005402888380 9562009005565 11474410806678 17211616210017 19124018011130 22948821613356 28686027016695 34423232420034 38248036022260 57372054033390 68846464840068 86058081050085 114744108066780 172116162100170 344232324200340