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306314712 = 2332113710453
BaseRepresentation
bin10010010000011…
…111110111011000
3210100101101210100
4102100133313120
51111404032322
650221215400
710406426544
oct2220376730
9710341710
10306314712
111479a7860
1286701560
134b5cc112
142c978a24
151bd59dac
hex1241fdd8

306314712 has 96 divisors (see below), whose sum is σ = 929569680. Its totient is φ = 90305280.

The previous prime is 306314711. The next prime is 306314747. The reversal of 306314712 is 217413603.

It is a super-3 number, since 3×3063147123 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306314711) 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, 24078 + ... + 34530.

Almost surely, 2306314712 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 306314712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464784840).

306314712 is an abundant number, since it is smaller than the sum of its proper divisors (623254968).

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

306314712 is a wasteful number, since it uses less digits than its factorization.

306314712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10513 (or 10506 counting only the distinct ones).

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

The square root of 306314712 is about 17501.8488166251. The cubic root of 306314712 is about 674.0973481887.

The spelling of 306314712 in words is "three hundred six million, three hundred fourteen thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 37 44 66 72 74 88 99 111 132 148 198 222 264 296 333 396 407 444 666 792 814 888 1221 1332 1628 2442 2664 3256 3663 4884 7326 9768 10453 14652 20906 29304 31359 41812 62718 83624 94077 114983 125436 188154 229966 250872 344949 376308 386761 459932 689898 752616 773522 919864 1034847 1160283 1379796 1547044 2069694 2320566 2759592 3094088 3480849 4139388 4254371 4641132 6961698 8278776 8508742 9282264 12763113 13923396 17017484 25526226 27846792 34034968 38289339 51052452 76578678 102104904 153157356 306314712