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304426839132 = 2233131601135433
BaseRepresentation
bin1000110111000010100…
…00001110110001011100
31002002210000210202102000
410123201100032301130
514441431232323012
6351503551402300
730664660303023
oct4334120166134
91062700722360
10304426839132
1110811a018039
124abbbb23390
1322926ccac50
1410a3d0458ba
157dbb149ddc
hex46e140ec5c

304426839132 has 96 divisors (see below), whose sum is σ = 850503850560. Its totient is φ = 93610598400.

The previous prime is 304426839113. The next prime is 304426839149. The reversal of 304426839132 is 231938624403.

304426839132 is a `hidden beast` number, since 30 + 4 + 426 + 83 + 91 + 32 = 666.

It is a congruent number.

It is an unprimeable number.

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, 2180088 + ... + 2315520.

It is an arithmetic number, because the mean of its divisors is an integer number (8859415110).

Almost surely, 2304426839132 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 304426839132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425251925280).

304426839132 is an abundant number, since it is smaller than the sum of its proper divisors (546077011428).

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

304426839132 is a wasteful number, since it uses less digits than its factorization.

304426839132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137060 (or 137052 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 304426839132 in words is "three hundred four billion, four hundred twenty-six million, eight hundred thirty-nine thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 1601 3202 4803 6404 9606 14409 19212 20813 28818 41626 43227 57636 62439 83252 86454 124878 135433 172908 187317 249756 270866 374634 406299 541732 561951 749268 812598 1123902 1218897 1625196 1760629 2247804 2437794 3521258 3656691 4875588 5281887 7042516 7313382 10563774 14626764 15845661 21127548 31691322 47536983 63382644 95073966 190147932 216828233 433656466 650484699 867312932 1300969398 1951454097 2601938796 2818767029 3902908194 5637534058 5854362291 7805816388 8456301087 11275068116 11708724582 16912602174 23417449164 25368903261 33825204348 50737806522 76106709783 101475613044 152213419566 304426839132