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304330000 = 2454132341
BaseRepresentation
bin10010001000111…
…011010100010000
3210012122120021111
4102020323110100
51110402030000
650110503104
710353522322
oct2210732420
9705576244
10304330000
111468716a7
1285b04a94
134b085930
142c5bd612
151bab6cba
hex1223b510

304330000 has 100 divisors (see below), whose sum is σ = 793830268. Its totient is φ = 112320000.

The previous prime is 304329959. The next prime is 304330051. The reversal of 304330000 is 33403.

It can be written as a sum of positive squares in 10 ways, for example, as 261662976 + 42667024 = 16176^2 + 6532^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 128830 + ... + 131170.

Almost surely, 2304330000 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 304330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396915134).

304330000 is an abundant number, since it is smaller than the sum of its proper divisors (489500268).

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

304330000 is a wasteful number, since it uses less digits than its factorization.

304330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2382 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 13.

The square root of 304330000 is about 17445.0566063857. The cubic root of 304330000 is about 672.6382942282.

Adding to 304330000 its reverse (33403), we get a palindrome (304363403).

The spelling of 304330000 in words is "three hundred four million, three hundred thirty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 625 650 1000 1040 1250 1300 1625 2000 2341 2500 2600 3250 4682 5000 5200 6500 8125 9364 10000 11705 13000 16250 18728 23410 26000 30433 32500 37456 46820 58525 60866 65000 93640 117050 121732 130000 152165 187280 234100 243464 292625 304330 468200 486928 585250 608660 760825 936400 1170500 1217320 1463125 1521650 2341000 2434640 2926250 3043300 3804125 4682000 5852500 6086600 7608250 11705000 12173200 15216500 19020625 23410000 30433000 38041250 60866000 76082500 152165000 304330000