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305064020 = 22515253201
BaseRepresentation
bin10010001011101…
…110100001010100
3210021000212011102
4102023232201110
51111044022040
650134325232
710363000322
oct2213564124
9707025142
10305064020
11147223128
12861b9818
134b281a71
142c730d12
151bbae515
hex122ee854

305064020 has 12 divisors (see below), whose sum is σ = 640634484. Its totient is φ = 122025600.

The previous prime is 305064013. The next prime is 305064047. The reversal of 305064020 is 20460503.

It can be written as a sum of positive squares in 2 ways, for example, as 95335696 + 209728324 = 9764^2 + 14482^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 15253201 = 305064020 / (3 + 0 + 5 + 0 + 6 + 4 + 0 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 305063983 and 305064001.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 7626581 + ... + 7626620.

It is an arithmetic number, because the mean of its divisors is an integer number (53386207).

Almost surely, 2305064020 is an apocalyptic number.

It is an amenable number.

305064020 is an abundant number, since it is smaller than the sum of its proper divisors (335570464).

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

305064020 is a wasteful number, since it uses less digits than its factorization.

305064020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15253210 (or 15253208 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 305064020 is about 17466.0819876697. The cubic root of 305064020 is about 673.1786435703.

The spelling of 305064020 in words is "three hundred five million, sixty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 15253201 30506402 61012804 76266005 152532010 305064020