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305323668 = 22351373331
BaseRepresentation
bin10010001100101…
…101111010010100
3210021112001100000
4102030231322110
51111130324133
650144051300
710365131316
oct2214557224
9707461300
10305323668
11147390211
1286303b30
134b342cc0
142c79b7b6
151bc11413
hex1232de94

305323668 has 144 divisors (see below), whose sum is σ = 876389696. Its totient is φ = 92378880.

The previous prime is 305323663. The next prime is 305323691. The reversal of 305323668 is 866323503.

It is a happy number.

305323668 is a `hidden beast` number, since 30 + 532 + 36 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305323663) 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, 922263 + ... + 922593.

Almost surely, 2305323668 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 305323668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438194848).

305323668 is an abundant number, since it is smaller than the sum of its proper divisors (571066028).

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

305323668 is a wasteful number, since it uses less digits than its factorization.

305323668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 305323668 is about 17473.5133273192. The cubic root of 305323668 is about 673.3695760862.

The spelling of 305323668 in words is "three hundred five million, three hundred twenty-three thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 73 78 81 108 117 146 156 162 219 234 243 292 324 331 351 438 468 486 657 662 702 876 949 972 993 1053 1314 1324 1404 1898 1971 1986 2106 2628 2847 2979 3159 3796 3942 3972 4212 4303 5694 5913 5958 6318 7884 8541 8606 8937 11388 11826 11916 12636 12909 17082 17212 17739 17874 23652 24163 25623 25818 26811 34164 35478 35748 38727 48326 51246 51636 53622 70956 72489 76869 77454 80433 96652 102492 107244 116181 144978 153738 154908 160866 217467 230607 232362 289956 307476 314119 321732 348543 434934 461214 464724 628238 652401 697086 869868 922428 942357 1045629 1256476 1304802 1394172 1884714 1957203 2091258 2609604 2827071 3769428 3914406 4182516 5654142 5871609 7828812 8481213 11308284 11743218 16962426 23486436 25443639 33924852 50887278 76330917 101774556 152661834 305323668