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304072328 = 23723475023
BaseRepresentation
bin10010000111111…
…100011010001000
3210012011110211002
4102013330122020
51110320303303
650101154132
710351400150
oct2207743210
9705143732
10304072328
1114670604a
12859bb948
134acc5571
142c553760
151ba65788
hex121fc688

304072328 has 64 divisors (see below), whose sum is σ = 694517760. Its totient is φ = 121974336.

The previous prime is 304072313. The next prime is 304072361. The reversal of 304072328 is 823270403.

It is a self number, because there is not a number n which added to its sum of digits gives 304072328.

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 15 ways as a sum of consecutive naturals, for example, 58025 + ... + 63047.

It is an arithmetic number, because the mean of its divisors is an integer number (10851840).

Almost surely, 2304072328 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 304072328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347258880).

304072328 is an abundant number, since it is smaller than the sum of its proper divisors (390445432).

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

304072328 is a wasteful number, since it uses less digits than its factorization.

304072328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5106 (or 5102 counting only the distinct ones).

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

The square root of 304072328 is about 17437.6697984564. The cubic root of 304072328 is about 672.4484027798.

The spelling of 304072328 in words is "three hundred four million, seventy-two thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 23 28 46 47 56 92 94 161 184 188 322 329 376 644 658 1081 1288 1316 2162 2632 4324 5023 7567 8648 10046 15134 20092 30268 35161 40184 60536 70322 115529 140644 231058 236081 281288 462116 472162 808703 924232 944324 1617406 1652567 1888648 3234812 3305134 5429863 6469624 6610268 10859726 13220536 21719452 38009041 43438904 76018082 152036164 304072328