Search a number
-
+
314306712 = 233237127929
BaseRepresentation
bin10010101110111…
…111000010011000
3210220102102202100
4102232333002120
51120430303322
651104403400
710534364046
oct2256770230
9726372670
10314306712
11151466315
1289316560
1350169a05
142da59396
151c8d7dac
hex12bbf098

314306712 has 96 divisors (see below), whose sum is σ = 882086400. Its totient is φ = 101025792.

The previous prime is 314306711. The next prime is 314306717. The reversal of 314306712 is 217603413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314306711) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 337864 + ... + 338792.

It is an arithmetic number, because the mean of its divisors is an integer number (9188400).

Almost surely, 2314306712 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 314306712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441043200).

314306712 is an abundant number, since it is smaller than the sum of its proper divisors (567779688).

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

314306712 is a wasteful number, since it uses less digits than its factorization.

314306712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 314306712 is about 17728.6974140798. The cubic root of 314306712 is about 679.9096708158.

The spelling of 314306712 in words is "three hundred fourteen million, three hundred six thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 127 148 222 254 296 333 381 444 508 666 762 888 929 1016 1143 1332 1524 1858 2286 2664 2787 3048 3716 4572 4699 5574 7432 8361 9144 9398 11148 14097 16722 18796 22296 28194 33444 34373 37592 42291 56388 66888 68746 84582 103119 112776 117983 137492 169164 206238 235966 274984 309357 338328 353949 412476 471932 618714 707898 824952 943864 1061847 1237428 1415796 2123694 2474856 2831592 4247388 4365371 8494776 8730742 13096113 17461484 26192226 34922968 39288339 52384452 78576678 104768904 157153356 314306712