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30340241334 = 2331351198443
BaseRepresentation
bin11100010000011010…
…110101011110110110
32220022110111221202000
4130100122311132312
5444114100210314
621534344400130
72122600540044
oct342032653666
986273457660
1030340241334
111195a303417
125a68a76046
132b26a12530
14167b6d5394
15bc8936209
hex7106b57b6

30340241334 has 64 divisors (see below), whose sum is σ = 72631910400. Its totient is φ = 9332529696.

The previous prime is 30340241279. The next prime is 30340241359. The reversal of 30340241334 is 43314204303.

30340241334 is a `hidden beast` number, since 303 + 4 + 0 + 24 + 1 + 334 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 30340241298 and 30340241307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3589317 + ... + 3597759.

It is an arithmetic number, because the mean of its divisors is an integer number (1134873600).

Almost surely, 230340241334 is an apocalyptic number.

30340241334 is an abundant number, since it is smaller than the sum of its proper divisors (42291669066).

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

30340241334 is a wasteful number, since it uses less digits than its factorization.

30340241334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13586 (or 13580 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 30340241334 its reverse (43314204303), we get a palindrome (73654445637).

The spelling of 30340241334 in words is "thirty billion, three hundred forty million, two hundred forty-one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 5119 8443 10238 15357 16886 25329 30714 46071 50658 66547 75987 92142 109759 133094 138213 151974 199641 219518 227961 276426 329277 399282 455922 598923 658554 987831 1197846 1796769 1975662 2963493 3593538 5926986 43219717 86439434 129659151 259318302 388977453 561856321 777954906 1123712642 1166932359 1685568963 2333864718 3371137926 5056706889 10113413778 15170120667 30340241334