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304790144 = 2717140069
BaseRepresentation
bin10010001010101…
…011101010000000
3210020111221110212
4102022223222000
51111011241034
650124413252
710360450001
oct2212535200
9706457425
10304790144
1114705638a
12860a7228
134b1b71c9
142c69d1a8
151bb582ce
hex122aba80

304790144 has 32 divisors (see below), whose sum is σ = 642921300. Its totient is φ = 143429632.

The previous prime is 304790131. The next prime is 304790173. The reversal of 304790144 is 441097403.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 280897600 + 23892544 = 16760^2 + 4888^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 304790144.

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 3 ways as a sum of consecutive naturals, for example, 67859 + ... + 72210.

Almost surely, 2304790144 is an apocalyptic number.

304790144 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

304790144 is an abundant number, since it is smaller than the sum of its proper divisors (338131156).

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

304790144 is a wasteful number, since it uses less digits than its factorization.

304790144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140100 (or 140088 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 304790144 is about 17458.2400029327. The cubic root of 304790144 is about 672.9771310324.

The spelling of 304790144 in words is "three hundred four million, seven hundred ninety thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 140069 280138 560276 1120552 2241104 2381173 4482208 4762346 8964416 9524692 17928832 19049384 38098768 76197536 152395072 304790144