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305680536 = 233271735677
BaseRepresentation
bin10010001110000…
…101000010011000
3210022012011212100
4102032011002120
51111223234121
650155443400
710401145620
oct2216050230
9708164770
10305680536
11147604347
1286456560
134b439575
142c851880
151bc82026
hex12385098

305680536 has 96 divisors (see below), whose sum is σ = 1001838240. Its totient is φ = 82197504.

The previous prime is 305680523. The next prime is 305680549. The reversal of 305680536 is 635086503.

305680536 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (305680523) and next prime (305680549).

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

It is a self number, because there is not a number n which added to its sum of digits gives 305680536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9271 + ... + 26406.

It is an arithmetic number, because the mean of its divisors is an integer number (10435815).

Almost surely, 2305680536 is an apocalyptic number.

305680536 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

305680536 is an abundant number, since it is smaller than the sum of its proper divisors (696157704).

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

305680536 is a wasteful number, since it uses less digits than its factorization.

305680536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35713 (or 35706 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 305680536 is about 17483.7220293621. The cubic root of 305680536 is about 673.6318229145.

The spelling of 305680536 in words is "three hundred five million, six hundred eighty thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 51 56 63 68 72 84 102 119 126 136 153 168 204 238 252 306 357 408 476 504 612 714 952 1071 1224 1428 2142 2856 4284 8568 35677 71354 107031 142708 214062 249739 285416 321093 428124 499478 606509 642186 749217 856248 998956 1213018 1284372 1498434 1819527 1997912 2247651 2426036 2568744 2996868 3639054 4245563 4495302 4852072 5458581 5993736 7278108 8491126 8990604 10917162 12736689 14556216 16982252 17981208 21834324 25473378 33964504 38210067 43668648 50946756 76420134 101893512 152840268 305680536