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312304411332 = 2232479155911617
BaseRepresentation
bin1001000101101101100…
…10110010001011000100
31002212010000211212221100
410202312302302023010
520104044412130312
6355245355220100
731364123460564
oct4426662621304
91085100755840
10312304411332
111104a1775691
125063a147630
13235b1077084
1411189360da4
1581cca105dc
hex48b6cb22c4

312304411332 has 72 divisors (see below), whose sum is σ = 791659814400. Its totient is φ = 103808567808.

The previous prime is 312304411277. The next prime is 312304411337. The reversal of 312304411332 is 233114403213.

It is a happy number.

312304411332 is a `hidden beast` number, since 3 + 12 + 304 + 4 + 11 + 332 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 312304411296 and 312304411305.

It is not an unprimeable number, because it can be changed into a prime (312304411337) 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 23 ways as a sum of consecutive naturals, for example, 26877588 + ... + 26889204.

It is an arithmetic number, because the mean of its divisors is an integer number (10995275200).

Almost surely, 2312304411332 is an apocalyptic number.

It is an amenable number.

312304411332 is an abundant number, since it is smaller than the sum of its proper divisors (479355403068).

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

312304411332 is a wasteful number, since it uses less digits than its factorization.

312304411332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13665 (or 13660 counting only the distinct ones).

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

Adding to 312304411332 its reverse (233114403213), we get a palindrome (545418814545).

The spelling of 312304411332 in words is "three hundred twelve billion, three hundred four million, four hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 479 958 1437 1559 1916 2874 3118 4311 4677 5748 6236 8622 9354 11617 14031 17244 18708 23234 28062 34851 46468 56124 69702 104553 139404 209106 418212 746761 1493522 2240283 2987044 4480566 5564543 6720849 8961132 11129086 13441698 16693629 18110903 22258172 26883396 33387258 36221806 50080887 54332709 66774516 72443612 100161774 108665418 162998127 200323548 217330836 325996254 651992508 8675122537 17350245074 26025367611 34700490148 52050735222 78076102833 104101470444 156152205666 312304411332