Search a number
-
+
304331104 = 25711294259
BaseRepresentation
bin10010001000111…
…011100101100000
3210012122121210101
4102020323211200
51110402043404
650110512144
710353525460
oct2210734540
9705577711
10304331104
11146872510
1285b05654
134b08629c
142c5bdba0
151bab72a4
hex1223b960

304331104 has 96 divisors (see below), whose sum is σ = 772934400. Its totient is φ = 114455040.

The previous prime is 304331099. The next prime is 304331107. The reversal of 304331104 is 401133403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304331107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69327 + ... + 73585.

It is an arithmetic number, because the mean of its divisors is an integer number (8051400).

Almost surely, 2304331104 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 304331104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386467200).

304331104 is an abundant number, since it is smaller than the sum of its proper divisors (468603296).

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

304331104 is a wasteful number, since it uses less digits than its factorization.

304331104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4316 (or 4308 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 304331104 is about 17445.0882485587. The cubic root of 304331104 is about 672.6391075906.

Adding to 304331104 its reverse (401133403), we get a palindrome (705464507).

The spelling of 304331104 in words is "three hundred four million, three hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 32 44 56 58 77 88 112 116 154 176 203 224 232 308 319 352 406 464 616 638 812 928 1232 1276 1624 2233 2464 2552 3248 4259 4466 5104 6496 8518 8932 10208 17036 17864 29813 34072 35728 46849 59626 68144 71456 93698 119252 123511 136288 187396 238504 247022 327943 374792 477008 494044 655886 749584 864577 954016 988088 1311772 1358621 1499168 1729154 1976176 2623544 2717242 3458308 3952352 5247088 5434484 6916616 9510347 10494176 10868968 13833232 19020694 21737936 27666464 38041388 43475872 76082776 152165552 304331104