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305257064 = 2372778717
BaseRepresentation
bin10010001100011…
…101101001101000
3210021101122222012
4102030131221220
51111121211224
650142415052
710364433200
oct2214355150
9707348865
10305257064
11147345172
1286291488
134b31b8a8
142c781400
151bbeb80e
hex1231da68

305257064 has 24 divisors (see below), whose sum is σ = 665803890. Its totient is φ = 130824288.

The previous prime is 305257063. The next prime is 305257087. The reversal of 305257064 is 460752503.

It can be written as a sum of positive squares in only one way, i.e., 235868164 + 69388900 = 15358^2 + 8330^2 .

It is a super-3 number, since 3×3052570643 (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 305257064.

It is not an unprimeable number, because it can be changed into a prime (305257063) 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 5 ways as a sum of consecutive naturals, for example, 388967 + ... + 389750.

Almost surely, 2305257064 is an apocalyptic number.

It is an amenable number.

305257064 is an abundant number, since it is smaller than the sum of its proper divisors (360546826).

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

305257064 is a wasteful number, since it uses less digits than its factorization.

305257064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778737 (or 778726 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 32.

The square root of 305257064 is about 17471.6073673832. The cubic root of 305257064 is about 673.3206090680.

The spelling of 305257064 in words is "three hundred five million, two hundred fifty-seven thousand, sixty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 778717 1557434 3114868 5451019 6229736 10902038 21804076 38157133 43608152 76314266 152628532 305257064