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312234313404 = 2231321961313219
BaseRepresentation
bin1001000101100101001…
…11011000011010111100
31002211221010221112122210
410202302213120122330
520103423441012104
6355234412540420
731362312605466
oct4426247303274
91084833845583
10312234313404
11110466148012
125061a781710
132359c6a2b00
141117dd15136
1581c67b5989
hex48b29d86bc

312234313404 has 144 divisors (see below), whose sum is σ = 831838358400. Its totient is φ = 90860320512.

The previous prime is 312234313379. The next prime is 312234313409. The reversal of 312234313404 is 404313432213.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312234313409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23613507 + ... + 23626725.

Almost surely, 2312234313404 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 312234313404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415919179200).

312234313404 is an abundant number, since it is smaller than the sum of its proper divisors (519604044996).

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

312234313404 is a wasteful number, since it uses less digits than its factorization.

312234313404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13884 (or 13869 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 312234313404 its reverse (404313432213), we get a palindrome (716547745617).

The spelling of 312234313404 in words is "three hundred twelve billion, two hundred thirty-four million, three hundred thirteen thousand, four hundred four".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 169 228 247 338 494 507 613 676 741 988 1014 1226 1482 1839 2028 2452 2964 3211 3678 6422 7356 7969 9633 11647 12844 13219 15938 19266 23294 23907 26438 31876 34941 38532 39657 46588 47814 52876 69882 79314 95628 103597 139764 151411 158628 171847 207194 251161 302822 310791 343694 414388 454233 502322 515541 605644 621582 687388 753483 908466 1004644 1031082 1243164 1506966 1816932 1968343 2062164 2234011 3013932 3265093 3936686 4468022 5905029 6530186 6702033 7873372 8103247 8936044 9795279 11810058 13060372 13404066 16206494 19590558 23620116 24309741 26808132 32412988 39181116 42446209 48619482 84892418 97238964 105342211 127338627 153961693 169784836 210684422 254677254 307923386 316026633 421368844 461885079 509354508 615846772 632053266 923770158 1264106532 1369448743 1847540316 2001502009 2738897486 4003004018 4108346229 5477794972 6004506027 8006008036 8216692458 12009012054 16433384916 24018024108 26019526117 52039052234 78058578351 104078104468 156117156702 312234313404