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307680282 = 237713773
BaseRepresentation
bin10010010101101…
…101010000011010
3210102221210000000
4102111231100122
51112231232112
650310353430
710424145030
oct2225552032
9712853000
10307680282
1114874a828
128705b876
134b989850
142cc12550
151c0297dc
hex1256d41a

307680282 has 128 divisors (see below), whose sum is σ = 853009920. Its totient is φ = 81041472.

The previous prime is 307680257. The next prime is 307680287. The reversal of 307680282 is 282086703.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (307680287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 397648 + ... + 398420.

It is an arithmetic number, because the mean of its divisors is an integer number (6664140).

Almost surely, 2307680282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 307680282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426504960).

307680282 is an abundant number, since it is smaller than the sum of its proper divisors (545329638).

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

307680282 is an equidigital number, since it uses as much as digits as its factorization.

307680282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 307680282 is about 17540.8175978202. The cubic root of 307680282 is about 675.0975858912.

The spelling of 307680282 in words is "three hundred seven million, six hundred eighty thousand, two hundred eighty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 81 91 117 126 162 182 189 234 243 273 351 378 486 546 567 702 729 773 819 1053 1134 1458 1546 1638 1701 2106 2187 2319 2457 3159 3402 4374 4638 4914 5103 5411 6318 6957 7371 9477 10049 10206 10822 13914 14742 15309 16233 18954 20098 20871 22113 28431 30147 30618 32466 41742 44226 48699 56862 60294 62613 66339 70343 90441 97398 125226 132678 140686 146097 180882 187839 199017 211029 271323 292194 375678 398034 422058 438291 542646 563517 633087 813969 876582 1127034 1266174 1314873 1627938 1690551 1899261 2441907 2629746 3381102 3798522 3944619 4883814 5697783 7325721 7889238 11395566 11833857 14651442 17093349 21977163 23667714 34186698 43954326 51280047 102560094 153840141 307680282