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344434111340 = 225117939749919
BaseRepresentation
bin1010000001100011101…
…11110111001101101100
31012221001012112202111112
411000301313313031230
521120400113030330
6422121510211152
733612253432424
oct5006167671554
91187035482445
10344434111340
1112308a092870
1256906353ab8
1326631728597
1412956587484
158e5d5bb795
hex5031df736c

344434111340 has 96 divisors (see below), whose sum is σ = 801084211200. Its totient is φ = 123349374720.

The previous prime is 344434111331. The next prime is 344434111447. The reversal of 344434111340 is 43111434443.

It is a junction number, because it is equal to n+sod(n) for n = 344434111297 and 344434111306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6874901 + ... + 6924819.

It is an arithmetic number, because the mean of its divisors is an integer number (8344627200).

Almost surely, 2344434111340 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 344434111340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400542105600).

344434111340 is an abundant number, since it is smaller than the sum of its proper divisors (456650099860).

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

344434111340 is a wasteful number, since it uses less digits than its factorization.

344434111340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50415 (or 50413 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 344434111340 its reverse (43111434443), we get a palindrome (387545545783).

The spelling of 344434111340 in words is "three hundred forty-four billion, four hundred thirty-four million, one hundred eleven thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 79 110 158 220 316 395 397 790 794 869 1580 1588 1738 1985 3476 3970 4345 4367 7940 8690 8734 17380 17468 21835 31363 43670 49919 62726 87340 99838 125452 156815 199676 249595 313630 344993 499190 549109 627260 689986 998380 1098218 1379972 1724965 2196436 2745545 3449930 3943601 5491090 6899860 7887202 10982180 15774404 19718005 19817843 39436010 39635686 43379611 78872020 79271372 86759222 99089215 173518444 198178430 216898055 217996273 396356860 433796110 435992546 867592220 871985092 1089981365 1565609597 2179962730 3131219194 4359925460 6262438388 7828047985 15656095970 17221705567 31312191940 34443411134 68886822268 86108527835 172217055670 344434111340