Search a number
-
+
342401624410340 = 2251119102967795539
BaseRepresentation
bin100110111011010011001011…
…1001100011000100011100100
31122220100021102220220102012102
41031312212113030120203210
5324334402011322112330
63212121045034311232
7132056462306311115
oct11566462714304344
91586307386812172
10342401624410340
119a110793651260
123249b88b288518
1311909447273711
14607a4815b020c
15298b9ba873945
hex13769973188e4

342401624410340 has 96 divisors (see below), whose sum is σ = 825704840217600. Its totient is φ = 117955246619520.

The previous prime is 342401624410327. The next prime is 342401624410343. The reversal of 342401624410340 is 43014426104243.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 342401624410294 and 342401624410303.

It is not an unprimeable number, because it can be changed into a prime (342401624410343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 430004291 + ... + 430799829.

It is an arithmetic number, because the mean of its divisors is an integer number (8601092085600).

Almost surely, 2342401624410340 is an apocalyptic number.

It is an amenable number.

342401624410340 is an abundant number, since it is smaller than the sum of its proper divisors (483303215807260).

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

342401624410340 is a wasteful number, since it uses less digits than its factorization.

342401624410340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898545 (or 898543 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 38.

The spelling of 342401624410340 in words is "three hundred forty-two trillion, four hundred one billion, six hundred twenty-four million, four hundred ten thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 836 1045 2090 4180 102967 205934 411868 514835 795539 1029670 1132637 1591078 1956373 2059340 2265274 3182156 3912746 3977695 4530548 5663185 7825492 7955390 8750929 9781865 11326370 15115241 15910780 17501858 19563730 21520103 22652740 30230482 35003716 39127460 43040206 43754645 60460964 75576205 86080412 87509290 107600515 151152410 166267651 175018580 215201030 302304820 332535302 430402060 665070604 831338255 1662676510 3325353020 81914264213 163828528426 327657056852 409571321065 819142642130 901056906343 1556371020047 1638285284260 1802113812686 3112742040094 3604227625372 4505284531715 6225484080188 7781855100235 9010569063430 15563710200470 17120081220517 18021138126860 31127420400940 34240162441034 68480324882068 85600406102585 171200812205170 342401624410340