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314805060 = 2232547127293
BaseRepresentation
bin10010110000111…
…000101101000100
3210221100202100200
4102300320231010
51121042230220
651123210500
710541541003
oct2260705504
9727322320
10314805060
11151776779
1289516a30
13502b27ab
142db48c3a
151c985890
hex12c38b44

314805060 has 144 divisors (see below), whose sum is σ = 986259456. Its totient is φ = 81236736.

The previous prime is 314805019. The next prime is 314805067. The reversal of 314805060 is 60508413.

It is not an unprimeable number, because it can be changed into a prime (314805067) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1074274 + ... + 1074566.

It is an arithmetic number, because the mean of its divisors is an integer number (6849024).

Almost surely, 2314805060 is an apocalyptic number.

314805060 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314805060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493129728).

314805060 is an abundant number, since it is smaller than the sum of its proper divisors (671454396).

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

314805060 is a wasteful number, since it uses less digits than its factorization.

314805060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 314805060 is about 17742.7466870268. The cubic root of 314805060 is about 680.2688239312.

The spelling of 314805060 in words is "three hundred fourteen million, eight hundred five thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 127 141 180 188 235 254 282 293 381 423 470 508 564 586 635 705 762 846 879 940 1143 1172 1270 1410 1465 1524 1692 1758 1905 2115 2286 2540 2637 2820 2930 3516 3810 4230 4395 4572 5274 5715 5860 5969 7620 8460 8790 10548 11430 11938 13185 13771 17580 17907 22860 23876 26370 27542 29845 35814 37211 41313 52740 53721 55084 59690 68855 71628 74422 82626 89535 107442 111633 119380 123939 137710 148844 165252 179070 186055 206565 214884 223266 247878 268605 275420 334899 358140 372110 413130 446532 495756 537210 558165 619695 669798 744220 826260 1074420 1116330 1239390 1339596 1674495 1748917 2232660 2478780 3348990 3497834 5246751 6697980 6995668 8744585 10493502 15740253 17489170 20987004 26233755 31480506 34978340 52467510 62961012 78701265 104935020 157402530 314805060