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304960 = 265953
BaseRepresentation
bin1001010011101000000
3120111022211
41022131000
534224320
610311504
72410045
oct1123500
9514284
10304960
11199137
12128594
13a8a66
147d1cc
156055a
hex4a740

304960 has 28 divisors (see below), whose sum is σ = 726948. Its totient is φ = 121856.

The previous prime is 304949. The next prime is 304961. The reversal of 304960 is 69403.

It can be written as a sum of positive squares in 2 ways, for example, as 118336 + 186624 = 344^2 + 432^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304961) by changing a digit.

304960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 157 + ... + 796.

2304960 is an apocalyptic number.

It is an amenable number.

304960 is an abundant number, since it is smaller than the sum of its proper divisors (421988).

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

304960 is an equidigital number, since it uses as much as digits as its factorization.

304960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 304960 is about 552.2318353735. The cubic root of 304960 is about 67.3102121924.

The spelling of 304960 in words is "three hundred four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 953 1906 3812 4765 7624 9530 15248 19060 30496 38120 60992 76240 152480 304960