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307768986 = 232717532711
BaseRepresentation
bin10010010110000…
…010111010011010
3210110010021200100
4102112002322122
51112242101421
650312320230
710424664450
oct2226027232
9713107610
10307768986
11148800438
12870a3076
134b9bb035
142cc369d0
151c045c26
hex12582e9a

307768986 has 96 divisors (see below), whose sum is σ = 822451968. Its totient is φ = 81169920.

The previous prime is 307768943. The next prime is 307768991. The reversal of 307768986 is 689867703.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 112171 + ... + 114881.

It is an arithmetic number, because the mean of its divisors is an integer number (8567208).

Almost surely, 2307768986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 307768986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411225984).

307768986 is an abundant number, since it is smaller than the sum of its proper divisors (514682982).

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

307768986 is a wasteful number, since it uses less digits than its factorization.

307768986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2796 (or 2793 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 307768986 is about 17543.3459180397. The cubic root of 307768986 is about 675.1624563707.

The spelling of 307768986 in words is "three hundred seven million, seven hundred sixty-eight thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 53 63 102 106 119 126 153 159 238 306 318 357 371 477 714 742 901 954 1071 1113 1802 2142 2226 2703 2711 3339 5406 5422 6307 6678 8109 8133 12614 16218 16266 18921 18977 24399 37842 37954 46087 48798 56763 56931 92174 113526 113862 138261 143683 170793 276522 287366 322609 341586 414783 431049 645218 829566 862098 967827 1005781 1293147 1935654 2011562 2442611 2586294 2903481 3017343 4885222 5806962 6034686 7327833 9052029 14655666 17098277 18104058 21983499 34196554 43966998 51294831 102589662 153884493 307768986