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304242320430 = 2355191655511
BaseRepresentation
bin1000110110101100100…
…00010110010000101110
31002002022011121020100000
410123112100112100232
514441042013223210
6351433400445130
730660260024436
oct4332620262056
91062264536300
10304242320430
11108034949444
124ab6a1797a6
13228c7a04399
1410a227332c6
157da9d4cac0
hex46d641642e

304242320430 has 96 divisors (see below), whose sum is σ = 824623607808. Its totient is φ = 80706391200.

The previous prime is 304242320423. The next prime is 304242320453. The reversal of 304242320430 is 34023242403.

304242320430 is a `hidden beast` number, since 3 + 0 + 4 + 2 + 423 + 204 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 304242320394 and 304242320403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136375 + ... + 791885.

It is an arithmetic number, because the mean of its divisors is an integer number (8589829248).

Almost surely, 2304242320430 is an apocalyptic number.

304242320430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 304242320430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412311803904).

304242320430 is an abundant number, since it is smaller than the sum of its proper divisors (520381287378).

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

304242320430 is a wasteful number, since it uses less digits than its factorization.

304242320430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655724 (or 655712 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 304242320430 its reverse (34023242403), we get a palindrome (338265562833).

The spelling of 304242320430 in words is "three hundred four billion, two hundred forty-two million, three hundred twenty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 191 243 270 382 405 486 573 810 955 1146 1215 1719 1910 2430 2865 3438 5157 5730 8595 10314 15471 17190 25785 30942 46413 51570 77355 92826 154710 232065 464130 655511 1311022 1966533 3277555 3933066 5899599 6555110 9832665 11799198 17698797 19665330 29497995 35397594 53096391 58995990 88493985 106192782 125202601 159289173 176987970 250405202 265481955 318578346 375607803 530963910 626013005 751215606 796445865 1126823409 1252026010 1592891730 1878039015 2253646818 3380470227 3756078030 5634117045 6760940454 10141410681 11268234090 16902351135 20282821362 30424232043 33804702270 50707053405 60848464086 101414106810 152121160215 304242320430