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344331312240440 = 23572175679240939
BaseRepresentation
bin100111001001010101110000…
…1100011010001011100111000
31200011011202022011222221200202
41032102223201203101130320
5330113011011413143230
63220155342053421332
7132346054624242200
oct11622534143213470
91604152264887622
10344331312240440
119a7950a9074118
123275186b93a848
1311a193c37c1215
146105a1dbc7400
1529c1caab2aa45
hex1392ae18d1738

344331312240440 has 48 divisors (see below), whose sum is σ = 901234506022200. Its totient is φ = 118056449910336.

The previous prime is 344331312240413. The next prime is 344331312240451. The reversal of 344331312240440 is 44042213133443.

It is a junction number, because it is equal to n+sod(n) for n = 344331312240394 and 344331312240403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87839618510 + ... + 87839622429.

Almost surely, 2344331312240440 is an apocalyptic number.

It is an amenable number.

344331312240440 is an abundant number, since it is smaller than the sum of its proper divisors (556903193781760).

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

344331312240440 is a wasteful number, since it uses less digits than its factorization.

344331312240440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175679240964 (or 175679240953 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 38.

Adding to 344331312240440 its reverse (44042213133443), we get a palindrome (388373525373883).

The spelling of 344331312240440 in words is "three hundred forty-four trillion, three hundred thirty-one billion, three hundred twelve million, two hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 175679240939 351358481878 702716963756 878396204695 1229754686573 1405433927512 1756792409390 2459509373146 3513584818780 4919018746292 6148773432865 7027169637560 8608282806011 9838037492584 12297546865730 17216565612022 24595093731460 34433131224044 43041414030055 49190187462920 68866262448088 86082828060110 172165656120220 344331312240440