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312104310342 = 2311293594331049
BaseRepresentation
bin1001000101010101101…
…11011101011001000110
31002211121002022200222120
410202222313131121012
520103142200412332
6355213450310410
731356143603016
oct4425267353106
91084532280876
10312104310342
111103a9823870
12505a3128406
132357b785b16
141116a953c46
1581ba18632c
hex48aaddd646

312104310342 has 128 divisors (see below), whose sum is σ = 708704640000. Its totient is φ = 90764513280.

The previous prime is 312104310317. The next prime is 312104310359. The reversal of 312104310342 is 243013401213.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 297525034 + ... + 297526082.

It is an arithmetic number, because the mean of its divisors is an integer number (5536755000).

Almost surely, 2312104310342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312104310342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354352320000).

312104310342 is an abundant number, since it is smaller than the sum of its proper divisors (396600329658).

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

312104310342 is a wasteful number, since it uses less digits than its factorization.

312104310342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1886.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 312104310342 its reverse (243013401213), we get a palindrome (555117711555).

The spelling of 312104310342 in words is "three hundred twelve billion, one hundred four million, three hundred ten thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 319 359 433 638 718 866 957 1049 1077 1299 1914 2098 2154 2598 3147 3949 4763 6294 7898 9526 10411 11539 11847 12557 14289 20822 23078 23694 25114 28578 30421 31233 34617 37671 60842 62466 69234 75342 91263 114521 138127 155447 182526 229042 276254 310894 334631 343563 376591 414381 454217 466341 669262 687126 753182 828762 908434 932682 1003893 1129773 1362651 1709917 2007786 2259546 2725302 3419834 4142501 4507963 4996387 5129751 8285002 9015926 9992774 10259502 10921139 12427503 13172293 13523889 14989161 21842278 24855006 26344586 27047778 29978322 32763417 39516879 49587593 65526834 79033758 99175186 120132529 144895223 148762779 163063903 240265058 289790446 297525558 326127806 360397587 434685669 489191709 720795174 869371338 978383418 1793702933 3587405866 4728853187 5381108799 9457706374 10762217598 14186559561 28373119122 52017385057 104034770114 156052155171 312104310342