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304040320 = 2752711753
BaseRepresentation
bin10010000111110…
…100100110000000
3210012002211220121
4102013310212000
51110313242240
650100350024
710351204633
oct2207644600
9705084817
10304040320
11146693aa1
12859a5314
134acb3b1c
142c545c1a
151ba5b04a
hex121f4980

304040320 has 64 divisors (see below), whose sum is σ = 729944640. Its totient is φ = 121098240.

The previous prime is 304040293. The next prime is 304040327. The reversal of 304040320 is 23040403.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 304040294 and 304040303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304040327) 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 7 ways as a sum of consecutive naturals, for example, 172564 + ... + 174316.

It is an arithmetic number, because the mean of its divisors is an integer number (11405385).

Almost surely, 2304040320 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 304040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364972320).

304040320 is an abundant number, since it is smaller than the sum of its proper divisors (425904320).

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

304040320 is a wasteful number, since it uses less digits than its factorization.

304040320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2043 (or 2031 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 304040320 is about 17436.7519911250. The cubic root of 304040320 is about 672.4248069861.

Adding to 304040320 its reverse (23040403), we get a palindrome (327080723).

The spelling of 304040320 in words is "three hundred four million, forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 271 320 542 640 1084 1355 1753 2168 2710 3506 4336 5420 7012 8672 8765 10840 14024 17344 17530 21680 28048 34688 35060 43360 56096 70120 86720 112192 140240 173440 224384 280480 475063 560960 950126 1121920 1900252 2375315 3800504 4750630 7601008 9501260 15202016 19002520 30404032 38005040 60808064 76010080 152020160 304040320