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340034120123232 = 25329432840434711
BaseRepresentation
bin100110101010000100101110…
…0111100010000001101100000
31122120221221111110220110002110
41031110021130330100031200
5324032104334222420412
63203105303541115320
7131423440325022543
oct11524113474201540
91576857443813073
10340034120123232
119938872a158147
1232178a829b8b40
13117971068240c2
145dd7a4c61c85a
15294a103c56d3c
hex135425cf10360

340034120123232 has 96 divisors (see below), whose sum is σ = 944842202599680. Its totient is φ = 106891239006720.

The previous prime is 340034120123227. The next prime is 340034120123287. The reversal of 340034120123232 is 232321021430043.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3400341201232322 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 340034120123232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1420097644 + ... + 1420337067.

It is an arithmetic number, because the mean of its divisors is an integer number (9842106277080).

Almost surely, 2340034120123232 is an apocalyptic number.

340034120123232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

340034120123232 is an abundant number, since it is smaller than the sum of its proper divisors (604808082476448).

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

340034120123232 is a wasteful number, since it uses less digits than its factorization.

340034120123232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2840434796 (or 2840434788 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 340034120123232 its reverse (232321021430043), we get a palindrome (572355141553275).

The spelling of 340034120123232 in words is "three hundred forty trillion, thirty-four billion, one hundred twenty million, one hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 43 48 58 86 87 96 116 129 172 174 232 258 344 348 464 516 688 696 928 1032 1247 1376 1392 2064 2494 2784 3741 4128 4988 7482 9976 14964 19952 29928 39904 59856 119712 2840434711 5680869422 8521304133 11361738844 17042608266 22723477688 34085216532 45446955376 68170433064 82372606619 90893910752 122138692573 136340866128 164745213238 244277385146 247117819857 272681732256 329490426476 366416077719 488554770292 494235639714 658980852952 732832155438 977109540584 988471279428 1317961705904 1465664310876 1954219081168 1976942558856 2635923411808 2931328621752 3542022084617 3908438162336 3953885117712 5862657243504 7084044169234 7907770235424 10626066253851 11725314487008 14168088338468 21252132507702 28336176676936 42504265015404 56672353353872 85008530030808 113344706707744 170017060061616 340034120123232