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816540312 = 2337399191
BaseRepresentation
bin110000101010110…
…110101010011000
32002220110112201210
4300222312222120
53133013242222
6213005143120
726143323000
oct6052665230
92086415653
10816540312
11389a08905
121a955aaa0
13100224663
147a633000
154ba42d0c
hex30ab6a98

816540312 has 64 divisors (see below), whose sum is σ = 2380608000. Its totient is φ = 233294880.

The previous prime is 816540301. The next prime is 816540317. The reversal of 816540312 is 213045618.

It is a super-2 number, since 2×8165403122 = 1333476162242114688, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 816540312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816540317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41364 + ... + 57827.

It is an arithmetic number, because the mean of its divisors is an integer number (37197000).

Almost surely, 2816540312 is an apocalyptic number.

It is an amenable number.

816540312 is an abundant number, since it is smaller than the sum of its proper divisors (1564067688).

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

816540312 is a wasteful number, since it uses less digits than its factorization.

816540312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99221 (or 99203 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 816540312 is about 28575.1695008096. The cubic root of 816540312 is about 934.6719514133.

The spelling of 816540312 in words is "eight hundred sixteen million, five hundred forty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 343 392 588 686 1029 1176 1372 2058 2744 4116 8232 99191 198382 297573 396764 595146 694337 793528 1190292 1388674 2083011 2380584 2777348 4166022 4860359 5554696 8332044 9720718 14581077 16664088 19441436 29162154 34022513 38882872 58324308 68045026 102067539 116648616 136090052 204135078 272180104 408270156 816540312