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304134233112 = 233317912376359
BaseRepresentation
bin1000110110011111101…
…00000001110000011000
31002002000122012211102000
410123033310001300120
514440331330424422
6351414540041000
730654505220163
oct4331764016030
91062018184360
10304134233112
11107a89933886
124ab39b33160
13228ab4bb7a8
1410a12238ada
157da05ebcac
hex46cfd01c18

304134233112 has 128 divisors (see below), whose sum is σ = 850357440000. Its totient is φ = 100714382208.

The previous prime is 304134233111. The next prime is 304134233129. The reversal of 304134233112 is 211332431403.

It is a happy number.

304134233112 is a `hidden beast` number, since 3 + 0 + 4 + 1 + 342 + 3 + 311 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304134233111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47824189 + ... + 47830547.

It is an arithmetic number, because the mean of its divisors is an integer number (6643417500).

Almost surely, 2304134233112 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 304134233112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425178720000).

304134233112 is an abundant number, since it is smaller than the sum of its proper divisors (546223206888).

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

304134233112 is a wasteful number, since it uses less digits than its factorization.

304134233112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7790 (or 7780 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 304134233112 its reverse (211332431403), we get a palindrome (515466664515).

The spelling of 304134233112 in words is "three hundred four billion, one hundred thirty-four million, two hundred thirty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 179 216 358 537 716 1074 1237 1432 1611 2148 2474 3222 3711 4296 4833 4948 6359 6444 7422 9666 9896 11133 12718 12888 14844 19077 19332 22266 25436 29688 33399 38154 38664 44532 50872 57231 66798 76308 89064 114462 133596 152616 171693 221423 228924 267192 343386 442846 457848 664269 686772 885692 1138261 1328538 1373544 1771384 1992807 2276522 2657076 3414783 3985614 4553044 5314152 5978421 6829566 7866083 7971228 9106088 10244349 11956842 13659132 15732166 15942456 20488698 23598249 23913684 27318264 30733047 31464332 40977396 47196498 47827368 61466094 62928664 70794747 81954792 94392996 122932188 141589494 188785992 212384241 245864376 283178988 424768482 566357976 849536964 1408028857 1699073928 2816057714 4224086571 5632115428 8448173142 11264230856 12672259713 16896346284 25344519426 33792692568 38016779139 50689038852 76033558278 101378077704 152067116556 304134233112