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305663274 = 23372331349
BaseRepresentation
bin10010001110000…
…000110100101010
3210022011022012000
4102032000310222
51111222211044
650155231430
710401044400
oct2216006452
9708138160
10305663274
111475a2384
1286448576
134b431757
142c849470
151bc7bd69
hex12380d2a

305663274 has 96 divisors (see below), whose sum is σ = 794808000. Its totient is φ = 86819040.

The previous prime is 305663263. The next prime is 305663329. The reversal of 305663274 is 472366503.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 875652 + ... + 876000.

It is an arithmetic number, because the mean of its divisors is an integer number (8279250).

Almost surely, 2305663274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305663274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397404000).

305663274 is an abundant number, since it is smaller than the sum of its proper divisors (489144726).

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

305663274 is a wasteful number, since it uses less digits than its factorization.

305663274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 305663274 is about 17483.2283632057. The cubic root of 305663274 is about 673.6191425178.

The spelling of 305663274 in words is "three hundred five million, six hundred sixty-three thousand, two hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 331 349 378 441 662 698 882 993 1047 1323 1986 2094 2317 2443 2646 2979 3141 4634 4886 5958 6282 6951 7329 8937 9423 13902 14658 16219 17101 17874 18846 20853 21987 32438 34202 41706 43974 48657 51303 62559 65961 97314 102606 115519 125118 131922 145971 153909 231038 291942 307818 346557 437913 461727 693114 808633 875826 923454 1039671 1617266 2079342 2425899 3119013 4851798 5660431 6238026 7277697 11320862 14555394 16981293 21833091 33962586 43666182 50943879 101887758 152831637 305663274