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334312204424382 = 232432339931845901
BaseRepresentation
bin100110000000011100010000…
…0001100000101010010111110
31121211200221020100001001220100
41030000320200030011102332
5322304332343313040012
63143004523445501530
7130263155036044212
oct11400704014052276
91554627210031810
10334312204424382
1197582011995088
12315b3b40a118a6
1311470675a78c82
145c7ab23096942
15289b3634528dc
hex1300e203054be

334312204424382 has 48 divisors (see below), whose sum is σ = 741191867281008. Its totient is φ = 108845309865600.

The previous prime is 334312204424377. The next prime is 334312204424383. The reversal of 334312204424382 is 283424402213433.

334312204424382 is a `hidden beast` number, since 3 + 3 + 4 + 3 + 1 + 2 + 204 + 4 + 2 + 438 + 2 = 666.

It is a super-2 number, since 2×3343122044243822 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334312204424383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180187632 + ... + 182033532.

It is an arithmetic number, because the mean of its divisors is an integer number (15441497235021).

Almost surely, 2334312204424382 is an apocalyptic number.

334312204424382 is an abundant number, since it is smaller than the sum of its proper divisors (406879662856626).

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

334312204424382 is a wasteful number, since it uses less digits than its factorization.

334312204424382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2079945 (or 2079942 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 45.

The spelling of 334312204424382 in words is "three hundred thirty-four trillion, three hundred twelve billion, two hundred four million, four hundred twenty-four thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 18 43 86 129 258 387 774 233993 467986 701979 1403958 1845901 2105937 3691802 4211874 5537703 10061699 11075406 16613109 20123398 30185097 33226218 60370194 79373743 90555291 158747486 181110582 238121229 476242458 714363687 1428727374 431927912693 863855825386 1295783738079 2591567476158 3887351214237 7774702428474 18572900245799 37145800491598 55718700737397 111437401474794 167156102212191 334312204424382