Search a number
-
+
312426114 = 237112134729
BaseRepresentation
bin10010100111110…
…011111010000010
3210202212220001120
4102213303322002
51114440113424
651000213110
710512402210
oct2247637202
9722786046
10312426114
111503a1400
128876a196
134c95ba30
142d6c9cb0
151c665a79
hex129f3e82

312426114 has 96 divisors (see below), whose sum is σ = 845496960. Its totient is φ = 74891520.

The previous prime is 312426083. The next prime is 312426133. The reversal of 312426114 is 411624213.

It is a super-2 number, since 2×3124261142 = 195220153418281992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63702 + ... + 68430.

It is an arithmetic number, because the mean of its divisors is an integer number (8807260).

Almost surely, 2312426114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312426114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422748480).

312426114 is an abundant number, since it is smaller than the sum of its proper divisors (533070846).

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

312426114 is a wasteful number, since it uses less digits than its factorization.

312426114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4776 (or 4765 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 312426114 is about 17675.5795944574. The cubic root of 312426114 is about 678.5509179438.

It can be divided in two parts, 312 and 426114, that added together give a triangular number (426426 = T923).

The spelling of 312426114 in words is "three hundred twelve million, four hundred twenty-six thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 121 143 154 182 231 242 273 286 363 429 462 546 726 847 858 1001 1573 1694 2002 2541 3003 3146 4719 4729 5082 6006 9438 9458 11011 14187 22022 28374 33033 33103 52019 61477 66066 66206 99309 104038 122954 156057 184431 198618 312114 364133 368862 430339 572209 676247 728266 860678 1092399 1144418 1291017 1352494 1716627 2028741 2184798 2582034 3433254 4005463 4057482 4733729 7438717 8010926 9467458 12016389 14201187 14877434 22316151 24032778 28402374 44632302 52071019 104142038 156213057 312426114