Search a number
-
+
306288040 = 23541186761
BaseRepresentation
bin10010010000011…
…001010110101000
3210100100001012111
4102100121112220
51111402204130
650220452104
710406256022
oct2220312650
9710301174
10306288040
11147989813
12866aa034
134b5bcc36
142c96d012
151bd5202a
hex124195a8

306288040 has 32 divisors (see below), whose sum is σ = 705960360. Its totient is φ = 119526400.

The previous prime is 306288013. The next prime is 306288061. The reversal of 306288040 is 40882603.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 101969604 + 204318436 = 10098^2 + 14294^2 .

It is a junction number, because it is equal to n+sod(n) for n = 306287993 and 306288011.

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 7 ways as a sum of consecutive naturals, for example, 91741 + ... + 95020.

Almost surely, 2306288040 is an apocalyptic number.

It is an amenable number.

306288040 is an abundant number, since it is smaller than the sum of its proper divisors (399672320).

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

306288040 is a wasteful number, since it uses less digits than its factorization.

306288040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186813 (or 186809 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 306288040 is about 17501.0868233947. The cubic root of 306288040 is about 674.0777822046.

The spelling of 306288040 in words is "three hundred six million, two hundred eighty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 186761 373522 747044 933805 1494088 1867610 3735220 7470440 7657201 15314402 30628804 38286005 61257608 76572010 153144020 306288040