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341816328 = 233371811249
BaseRepresentation
bin10100010111111…
…011010000001000
3212211012001212000
4110113323100020
51200001110303
653530151000
711320251030
oct2427732010
9784161760
10341816328
11165a45737
1296582460
1355a7c2a9
143357a8c0
152001dda3
hex145fb408

341816328 has 128 divisors (see below), whose sum is σ = 1092000000. Its totient is φ = 97044480.

The previous prime is 341816311. The next prime is 341816333. The reversal of 341816328 is 823618143.

341816328 is a `hidden beast` number, since 3 + 4 + 18 + 1 + 632 + 8 = 666.

341816328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 341816292 and 341816301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273048 + ... + 274296.

It is an arithmetic number, because the mean of its divisors is an integer number (8531250).

Almost surely, 2341816328 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 341816328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546000000).

341816328 is an abundant number, since it is smaller than the sum of its proper divisors (750183672).

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

341816328 is a wasteful number, since it uses less digits than its factorization.

341816328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452 (or 1442 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 341816328 is about 18488.2754198438. The cubic root of 341816328 is about 699.1938529186.

The spelling of 341816328 in words is "three hundred forty-one million, eight hundred sixteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 181 189 216 252 362 378 504 543 724 756 1086 1249 1267 1448 1512 1629 2172 2498 2534 3258 3747 3801 4344 4887 4996 5068 6516 7494 7602 8743 9774 9992 10136 11241 11403 13032 14988 15204 17486 19548 22482 22806 26229 29976 30408 33723 34209 34972 39096 44964 45612 52458 67446 68418 69944 78687 89928 91224 104916 134892 136836 157374 209832 226069 236061 269784 273672 314748 452138 472122 629496 678207 904276 944244 1356414 1582483 1808552 1888488 2034621 2712828 3164966 4069242 4747449 5425656 6103863 6329932 8138484 9494898 12207726 12659864 14242347 16276968 18989796 24415452 28484694 37979592 42727041 48830904 56969388 85454082 113938776 170908164 341816328