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304241200434 = 232172929733937
BaseRepresentation
bin1000110110101100011…
…00000100110100110010
31002002022002111022222200
410123112030010310302
514441041221403214
6351433320444030
730660244351233
oct4332614046462
91062262438880
10304241200434
11108034253a26
124ab69919616
13228c7701672
1410a2252108a
157da9bcad09
hex46d6304d32

304241200434 has 48 divisors (see below), whose sum is σ = 698009497848. Its totient is φ = 95442149376.

The previous prime is 304241200429. The next prime is 304241200447. The reversal of 304241200434 is 434002142403.

It is a happy number.

304241200434 is a `hidden beast` number, since 3 + 0 + 4 + 24 + 1 + 200 + 434 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 292089445209 + 12151755225 = 540453^2 + 110235^2 .

It is a junction number, because it is equal to n+sod(n) for n = 304241200398 and 304241200407.

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 23 ways as a sum of consecutive naturals, for example, 8947914 + ... + 8981850.

Almost surely, 2304241200434 is an apocalyptic number.

304241200434 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

304241200434 is an abundant number, since it is smaller than the sum of its proper divisors (393768297414).

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

304241200434 is a wasteful number, since it uses less digits than its factorization.

304241200434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63259 (or 63256 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 304241200434 its reverse (434002142403), we get a palindrome (738243342837).

The spelling of 304241200434 in words is "three hundred four billion, two hundred forty-one million, two hundred thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 29297 33937 58594 67874 87891 101811 175782 203622 263673 305433 498049 527346 576929 610866 996098 1153858 1494147 1730787 2988294 3461574 4482441 5192361 8964882 10384722 994252289 1988504578 2982756867 5965513734 8948270601 16902288913 17896541202 33804577826 50706866739 101413733478 152120600217 304241200434