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304314024 = 233714912157
BaseRepresentation
bin10010001000110…
…111011010101000
3210012121202100210
4102020313122220
51110401022044
650110301120
710353424620
oct2210673250
9705552323
10304314024
111468606a3
1285ab77a0
134b07b591
142c5b7880
151bab21b9
hex122376a8

304314024 has 64 divisors (see below), whose sum is σ = 875376000. Its totient is φ = 86356224.

The previous prime is 304314001. The next prime is 304314029. The reversal of 304314024 is 420413403.

304314024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (304314029) by changing a digit.

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, 18954 + ... + 31110.

It is an arithmetic number, because the mean of its divisors is an integer number (13677750).

Almost surely, 2304314024 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 304314024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437688000).

304314024 is an abundant number, since it is smaller than the sum of its proper divisors (571061976).

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

304314024 is a wasteful number, since it uses less digits than its factorization.

304314024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12322 (or 12318 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 304314024 is about 17444.5987056166. The cubic root of 304314024 is about 672.6265238282.

Adding to 304314024 its reverse (420413403), we get a palindrome (724727427).

The spelling of 304314024 in words is "three hundred four million, three hundred fourteen thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 149 168 298 447 596 894 1043 1192 1788 2086 3129 3576 4172 6258 8344 12157 12516 24314 25032 36471 48628 72942 85099 97256 145884 170198 255297 291768 340396 510594 680792 1021188 1811393 2042376 3622786 5434179 7245572 10868358 12679751 14491144 21736716 25359502 38039253 43473432 50719004 76078506 101438008 152157012 304314024