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304412244012 = 22352341133781
BaseRepresentation
bin1000110111000000110…
…00100011100000101100
31002002202000100020200000
410123200120203200230
514441414013302022
6351502310504300
730664422244452
oct4334030434054
91062660306600
10304412244012
11108111859558
124abb7065090
1322923c8a996
1410a3b1269d2
157db9c156ac
hex46e062382c

304412244012 has 72 divisors (see below), whose sum is σ = 798332847312. Its totient is φ = 101426644800.

The previous prime is 304412243959. The next prime is 304412244023. The reversal of 304412244012 is 210442214403.

304412244012 is a `hidden beast` number, since 3 + 0 + 4 + 412 + 244 + 0 + 1 + 2 = 666.

It is a super-2 number, since 2×3044122440122 (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2208562 + ... + 2342342.

Almost surely, 2304412244012 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 304412244012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399166423656).

304412244012 is an abundant number, since it is smaller than the sum of its proper divisors (493920603300).

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

304412244012 is a wasteful number, since it uses less digits than its factorization.

304412244012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136141 (or 136127 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 304412244012 its reverse (210442214403), we get a palindrome (514854458415).

The spelling of 304412244012 in words is "three hundred four billion, four hundred twelve million, two hundred forty-four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 2341 4682 7023 9364 14046 21069 28092 42138 63207 84276 126414 133781 189621 252828 267562 379242 401343 535124 568863 758484 802686 1137726 1204029 1605372 2275452 2408058 3612087 4816116 7224174 10836261 14448348 21672522 32508783 43345044 65017566 130035132 313181321 626362642 939543963 1252725284 1879087926 2818631889 3758175852 5637263778 8455895667 11274527556 16911791334 25367687001 33823582668 50735374002 76103061003 101470748004 152206122006 304412244012