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304413920 = 25571127211
BaseRepresentation
bin10010001001001…
…111110011100000
3210012210211101122
4102021033303200
51110412221140
650112351412
710354322066
oct2211176340
9705724348
10304413920
11146919758
1285b45568
134b0b4ba5
142c602036
151bad1ab5
hex1224fce0

304413920 has 96 divisors (see below), whose sum is σ = 738533376. Its totient is φ = 118540800.

The previous prime is 304413919. The next prime is 304413929. The reversal of 304413920 is 29314403.

It is a self number, because there is not a number n which added to its sum of digits gives 304413920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304413929) 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, 1442615 + ... + 1442825.

It is an arithmetic number, because the mean of its divisors is an integer number (7693056).

Almost surely, 2304413920 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 304413920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369266688).

304413920 is an abundant number, since it is smaller than the sum of its proper divisors (434119456).

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

304413920 is a wasteful number, since it uses less digits than its factorization.

304413920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 304413920 is about 17447.4617065062. The cubic root of 304413920 is about 672.7001159545.

The spelling of 304413920 in words is "three hundred four million, four hundred thirteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 71 80 127 142 160 211 254 284 355 422 508 568 635 710 844 1016 1055 1136 1270 1420 1688 2032 2110 2272 2540 2840 3376 4064 4220 5080 5680 6752 8440 9017 10160 11360 14981 16880 18034 20320 26797 29962 33760 36068 45085 53594 59924 72136 74905 90170 107188 119848 133985 144272 149810 180340 214376 239696 267970 288544 299620 360680 428752 479392 535940 599240 721360 857504 1071880 1198480 1442720 1902587 2143760 2396960 3805174 4287520 7610348 9512935 15220696 19025870 30441392 38051740 60882784 76103480 152206960 304413920