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304434313300 = 2252131288918169
BaseRepresentation
bin1000110111000011011…
…00101111100001010100
31002002210112212111001001
410123201230233201110
514441440141011200
6351504415513044
730665110652425
oct4334154574124
91062715774031
10304434313300
11108123262537
124b002528784
1322928716c30
1410a4002d64c
157dbbb2476a
hex46e1b2f854

304434313300 has 72 divisors (see below), whose sum is σ = 711533929400. Its totient is φ = 112391608320.

The previous prime is 304434313283. The next prime is 304434313301. The reversal of 304434313300 is 3313434403.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 171212233284 + 133222080016 = 413778^2 + 364996^2 .

It is a super-2 number, since 2×3044343133002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304434313301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16746616 + ... + 16764784.

Almost surely, 2304434313300 is an apocalyptic number.

It is an amenable number.

304434313300 is an abundant number, since it is smaller than the sum of its proper divisors (407099616100).

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

304434313300 is a wasteful number, since it uses less digits than its factorization.

304434313300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31085 (or 31078 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 304434313300 its reverse (3313434403), we get a palindrome (307747747703).

The spelling of 304434313300 in words is "three hundred four billion, four hundred thirty-four million, three hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 12889 18169 25778 36338 51556 64445 72676 90845 128890 167557 181690 236197 257780 322225 335114 363380 454225 472394 644450 670228 837785 908450 944788 1180985 1288900 1675570 1816900 2361970 3351140 4188925 4723940 5904925 8377850 11809850 16755700 23619700 234180241 468360482 936720964 1170901205 2341802410 3044343133 4683604820 5854506025 6088686266 11709012050 12177372532 15221715665 23418024100 30443431330 60886862660 76108578325 152217156650 304434313300