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342164036484 = 223431163208997
BaseRepresentation
bin1001111101010101001…
…00001101101110000100
31012201012000000000020000
410332222210031232010
521101222443131414
6421104334441300
733502100215404
oct4765244155604
91181160000200
10342164036484
11122124750a46
1256392063230
132635c33031a
14127bcca8804
158d7915bb09
hex4faa90db84

342164036484 has 120 divisors (see below), whose sum is σ = 929007813888. Its totient is φ = 109697820480.

The previous prime is 342164036479. The next prime is 342164036521. The reversal of 342164036484 is 484630461243.

342164036484 is a `hidden beast` number, since 3 + 4 + 2 + 164 + 0 + 3 + 6 + 484 = 666.

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 39 ways as a sum of consecutive naturals, for example, 1532674 + ... + 1741670.

Almost surely, 2342164036484 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 342164036484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464503906944).

342164036484 is an abundant number, since it is smaller than the sum of its proper divisors (586843777404).

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

342164036484 is a wasteful number, since it uses less digits than its factorization.

342164036484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209207 (or 209196 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 342164036484 in words is "three hundred forty-two billion, one hundred sixty-four million, thirty-six thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 163 186 279 324 326 372 489 558 652 837 978 1116 1467 1674 1956 2511 2934 3348 4401 5022 5053 5868 8802 10044 10106 13203 15159 17604 20212 26406 30318 45477 52812 60636 90954 136431 181908 208997 272862 409293 417994 545724 626991 818586 835988 1253982 1637172 1880973 2507964 3761946 5642919 6478907 7523892 11285838 12957814 16928757 19436721 22571676 25915628 33857514 34066511 38873442 58310163 67715028 68133022 77746884 102199533 116620326 136266044 174930489 204399066 233240652 306598599 349860978 408798132 524791467 613197198 699721956 919795797 1049582934 1056061841 1226394396 1839591594 2099165868 2112123682 2759387391 3168185523 3679183188 4224247364 5518774782 6336371046 9504556569 11037549564 12672742092 19009113138 28513669707 38018226276 57027339414 85541009121 114054678828 171082018242 342164036484