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304467104 = 256122557
BaseRepresentation
bin10010001001011…
…100110010100000
3210012220112100102
4102021130302200
51110420421404
650113441532
710354633124
oct2211346240
9705815312
10304467104
11146955707
1285b702a8
134b103166
142c617584
151bae271e
hex1225cca0

304467104 has 36 divisors (see below), whose sum is σ = 609645582. Its totient is φ = 149679360.

The previous prime is 304467103. The next prime is 304467167. The reversal of 304467104 is 401764403.

304467104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 80066704 + 224400400 = 8948^2 + 14980^2 .

It is not an unprimeable number, because it can be changed into a prime (304467101) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 117794 + ... + 120350.

Almost surely, 2304467104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 304467104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304822791).

304467104 is an abundant number, since it is smaller than the sum of its proper divisors (305178478).

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

304467104 is an equidigital number, since it uses as much as digits as its factorization.

304467104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2689 (or 2620 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 304467104 is about 17448.9857584904. The cubic root of 304467104 is about 672.7392893708.

The spelling of 304467104 in words is "three hundred four million, four hundred sixty-seven thousand, one hundred four".

Divisors: 1 2 4 8 16 32 61 122 244 488 976 1952 2557 3721 5114 7442 10228 14884 20456 29768 40912 59536 81824 119072 155977 311954 623908 1247816 2495632 4991264 9514597 19029194 38058388 76116776 152233552 304467104