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344246561340 = 223511521585699
BaseRepresentation
bin1010000001001101011…
…00011010101000111100
31012220120010122020021020
411000212230122220330
521120004104430330
6422051130304140
733604515330423
oct5004654325074
91186503566236
10344246561340
11122aa3233770
1256873588050
1326601910056
14129396c62ba
158e4bdc1210
hex5026b1aa3c

344246561340 has 48 divisors (see below), whose sum is σ = 1051516771200. Its totient is φ = 83453711680.

The previous prime is 344246561339. The next prime is 344246561353. The reversal of 344246561340 is 43165642443.

It is a super-3 number, since 3×3442465613403 (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 344246561292 and 344246561301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260792190 + ... + 260793509.

It is an arithmetic number, because the mean of its divisors is an integer number (21906599400).

Almost surely, 2344246561340 is an apocalyptic number.

344246561340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

344246561340 is an abundant number, since it is smaller than the sum of its proper divisors (707270209860).

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

344246561340 is a wasteful number, since it uses less digits than its factorization.

344246561340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521585722 (or 521585720 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 42.

The spelling of 344246561340 in words is "three hundred forty-four billion, two hundred forty-six million, five hundred sixty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 521585699 1043171398 1564757097 2086342796 2607928495 3129514194 5215856990 5737442689 6259028388 7823785485 10431713980 11474885378 15647570970 17212328067 22949770756 28687213445 31295141940 34424656134 57374426890 68849312268 86061640335 114748853780 172123280670 344246561340