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306913080 = 233519227593
BaseRepresentation
bin10010010010110…
…001111100111000
3210101111210121010
4102102301330320
51112032204310
650242113520
710414501215
oct2222617470
9711453533
10306913080
11148276381
128694b8a0
134b77b596
142ca92b0c
151be27320
hex124b1f38

306913080 has 128 divisors (see below), whose sum is σ = 975110400. Its totient is φ = 77064192.

The previous prime is 306913027. The next prime is 306913093. The reversal of 306913080 is 80319603.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 517264 + ... + 517856.

It is an arithmetic number, because the mean of its divisors is an integer number (7618050).

Almost surely, 2306913080 is an apocalyptic number.

306913080 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 306913080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487555200).

306913080 is an abundant number, since it is smaller than the sum of its proper divisors (668197320).

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

306913080 is a wasteful number, since it uses less digits than its factorization.

306913080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 306913080 is about 17518.9348991313. The cubic root of 306913080 is about 674.5359993593.

The spelling of 306913080 in words is "three hundred six million, nine hundred thirteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 227 228 285 380 454 456 570 593 681 760 908 1135 1140 1186 1362 1779 1816 2270 2280 2372 2724 2965 3405 3558 4313 4540 4744 5448 5930 6810 7116 8626 8895 9080 11267 11860 12939 13620 14232 17252 17790 21565 22534 23720 25878 27240 33801 34504 35580 43130 45068 51756 56335 64695 67602 71160 86260 90136 103512 112670 129390 134611 135204 169005 172520 225340 258780 269222 270408 338010 403833 450680 517560 538444 673055 676020 807666 1076888 1346110 1352040 1615332 2019165 2557609 2692220 3230664 4038330 5115218 5384440 7672827 8076660 10230436 12788045 15345654 16153320 20460872 25576090 30691308 38364135 51152180 61382616 76728270 102304360 153456540 306913080