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34314044404340 = 22579397424112899
BaseRepresentation
bin1111100110101010111000…
…11011010111001001110100
311111111101112202100011001002
413303111130123113021310
513444200130331414330
6200551353202422432
710141052002654151
oct763253433271164
9144441482304032
1034314044404340
11aa2a560556858
123a22360061a18
13161ba539218bc
14868b46b83228
153e78c13e7e45
hex1f355c6d7274

34314044404340 has 96 divisors (see below), whose sum is σ = 73178368704000. Its totient is φ = 13513504942080.

The previous prime is 34314044404333. The next prime is 34314044404357. The reversal of 34314044404340 is 4340444041343.

It is a junction number, because it is equal to n+sod(n) for n = 34314044404294 and 34314044404303.

It is a congruent number.

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, 2660203211 + ... + 2660216109.

It is an arithmetic number, because the mean of its divisors is an integer number (762274674000).

Almost surely, 234314044404340 is an apocalyptic number.

It is an amenable number.

34314044404340 is an abundant number, since it is smaller than the sum of its proper divisors (38864324299660).

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

34314044404340 is a wasteful number, since it uses less digits than its factorization.

34314044404340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17625 (or 17623 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 38.

Adding to 34314044404340 its reverse (4340444041343), we get a palindrome (38654488445683).

The spelling of 34314044404340 in words is "thirty-four trillion, three hundred fourteen billion, forty-four million, four hundred four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 79 158 316 395 397 790 794 1580 1588 1985 3970 4241 7940 8482 12899 16964 21205 25798 31363 42410 51596 62726 64495 84820 125452 128990 156815 257980 313630 335039 627260 670078 1019021 1340156 1675195 1683677 2038042 3350390 3367354 4076084 5095105 5120903 6700780 6734708 8418385 10190210 10241806 16836770 20380420 20483612 25604515 33673540 51209030 54704659 102418060 109409318 133010483 218818636 266020966 273523295 404551337 532041932 547046590 665052415 809102674 1094093180 1330104830 1618205348 2022756685 2660209660 4045513370 4321668061 8091026740 8643336122 17286672244 21608340305 21717749623 43216680610 43435499246 86433361220 86870998492 108588748115 217177496230 434354992460 1715702220217 3431404440434 6862808880868 8578511101085 17157022202170 34314044404340