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304114320 = 24325597159
BaseRepresentation
bin10010001000000…
…110101010010000
3210012020121102100
4102020012222100
51110323124240
650102120400
710351633446
oct2210065220
9705217370
10304114320
11146734654
1285a20100
134b00b703
142c564b96
151ba72e30
hex12206a90

304114320 has 120 divisors (see below), whose sum is σ = 1038772800. Its totient is φ = 79711488.

The previous prime is 304114319. The next prime is 304114331. The reversal of 304114320 is 23411403.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 304114293 and 304114302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38901 + ... + 46059.

It is an arithmetic number, because the mean of its divisors is an integer number (8656440).

Almost surely, 2304114320 is an apocalyptic number.

304114320 is a gapful number since it is divisible by the number (30) 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 304114320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519386400).

304114320 is an abundant number, since it is smaller than the sum of its proper divisors (734658480).

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

304114320 is a wasteful number, since it uses less digits than its factorization.

304114320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7237 (or 7228 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 304114320 is about 17438.8738168495. The cubic root of 304114320 is about 672.4793561100.

Adding to 304114320 its reverse (23411403), we get a palindrome (327525723).

The spelling of 304114320 in words is "three hundred four million, one hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 59 60 72 80 90 118 120 144 177 180 236 240 295 354 360 472 531 590 708 720 885 944 1062 1180 1416 1770 2124 2360 2655 2832 3540 4248 4720 5310 7080 7159 8496 10620 14160 14318 21240 21477 28636 35795 42480 42954 57272 64431 71590 85908 107385 114544 128862 143180 171816 214770 257724 286360 322155 343632 422381 429540 515448 572720 644310 844762 859080 1030896 1267143 1288620 1689524 1718160 2111905 2534286 2577240 3379048 3801429 4223810 5068572 5154480 6335715 6758096 7602858 8447620 10137144 12671430 15205716 16895240 19007145 20274288 25342860 30411432 33790480 38014290 50685720 60822864 76028580 101371440 152057160 304114320