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312234310404 = 2232591361108011
BaseRepresentation
bin1001000101100101001…
…11010111101100000100
31002211221010221101112200
410202302213113230010
520103423440413104
6355234412514500
731362312563652
oct4426247275404
91084833841480
10312234310404
11110466145835
125061a77ba30
132359c6a1633
141117dd13dd2
1581c67b4b39
hex48b29d7b04

312234310404 has 72 divisors (see below), whose sum is σ = 803233398240. Its totient is φ = 102237945600.

The previous prime is 312234310277. The next prime is 312234310537. The reversal of 312234310404 is 404013432213.

312234310404 is a `hidden beast` number, since 3 + 1 + 223 + 4 + 31 + 0 + 404 = 666.

It is a super-2 number, since 2×3122343104042 (a number of 24 digits) contains 22 as substring.

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, 2836759 + ... + 2944769.

It is an arithmetic number, because the mean of its divisors is an integer number (11156019420).

Almost surely, 2312234310404 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 312234310404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401616699120).

312234310404 is an abundant number, since it is smaller than the sum of its proper divisors (490999087836).

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

312234310404 is a wasteful number, since it uses less digits than its factorization.

312234310404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109441 (or 109436 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 312234310404 its reverse (404013432213), we get a palindrome (716247742617).

The spelling of 312234310404 in words is "three hundred twelve billion, two hundred thirty-four million, three hundred ten thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 708 1062 1361 2124 2722 4083 5444 8166 12249 16332 24498 48996 80299 108011 160598 216022 240897 321196 324033 432044 481794 648066 722691 963588 972099 1296132 1445382 1944198 2890764 3888396 6372649 12745298 19117947 25490596 38235894 57353841 76471788 114707682 147002971 229415364 294005942 441008913 588011884 882017826 1323026739 1764035652 2646053478 5292106956 8673175289 17346350578 26019525867 34692701156 52039051734 78058577601 104078103468 156117155202 312234310404