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320030304 = 253111717827
BaseRepresentation
bin10011000100110…
…100011001100000
3211022012020001020
4103010310121200
51123411432204
651431205440
710634132646
oct2304643140
9738166036
10320030304
11154715560
128b216880
13513c1c59
1430709196
151d168bd9
hex13134660

320030304 has 96 divisors (see below), whose sum is σ = 970413696. Its totient is φ = 91269120.

The previous prime is 320030273. The next prime is 320030309. The reversal of 320030304 is 403030023.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320030309) 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 15 ways as a sum of consecutive naturals, for example, 9039 + ... + 26865.

It is an arithmetic number, because the mean of its divisors is an integer number (10108476).

Almost surely, 2320030304 is an apocalyptic number.

320030304 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320030304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485206848).

320030304 is an abundant number, since it is smaller than the sum of its proper divisors (650383392).

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

320030304 is a wasteful number, since it uses less digits than its factorization.

320030304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17868 (or 17860 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

The square root of 320030304 is about 17889.3908224959. The cubic root of 320030304 is about 684.0119692854.

Adding to 320030304 its reverse (403030023), we get a palindrome (723060327).

The spelling of 320030304 in words is "three hundred twenty million, thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 66 68 88 96 102 132 136 176 187 204 264 272 352 374 408 528 544 561 748 816 1056 1122 1496 1632 2244 2992 4488 5984 8976 17827 17952 35654 53481 71308 106962 142616 196097 213924 285232 303059 392194 427848 570464 588291 606118 784388 855696 909177 1176582 1212236 1568776 1711392 1818354 2353164 2424472 3137552 3333649 3636708 4706328 4848944 6275104 6667298 7273416 9412656 9697888 10000947 13334596 14546832 18825312 20001894 26669192 29093664 40003788 53338384 80007576 106676768 160015152 320030304