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304324434 = 232291673491
BaseRepresentation
bin10010001000111…
…001111101010010
3210012122021122100
4102020321331102
51110401340214
650110421230
710353500151
oct2210717522
9705567570
10304324434
111468684a7
1285b01816
134b08323b
142c5bb598
151bab5309
hex12239f52

304324434 has 48 divisors (see below), whose sum is σ = 686387520. Its totient is φ = 97329120.

The previous prime is 304324421. The next prime is 304324439. The reversal of 304324434 is 434423403.

304324434 is a `hidden beast` number, since 304 + 324 + 4 + 34 = 666.

It is a super-3 number, since 3×3043244343 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 304324398 and 304324407.

It is not an unprimeable number, because it can be changed into a prime (304324439) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85429 + ... + 88919.

It is an arithmetic number, because the mean of its divisors is an integer number (14299740).

Almost surely, 2304324434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 304324434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343193760).

304324434 is an abundant number, since it is smaller than the sum of its proper divisors (382063086).

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

304324434 is a wasteful number, since it uses less digits than its factorization.

304324434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3695 (or 3692 counting only the distinct ones).

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

The square root of 304324434 is about 17444.8970762226. The cubic root of 304324434 is about 672.6341934959.

Adding to 304324434 its reverse (434423403), we get a palindrome (738747837).

The spelling of 304324434 in words is "three hundred four million, three hundred twenty-four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 29 58 87 167 174 261 334 501 522 1002 1503 3006 3491 4843 6982 9686 10473 14529 20946 29058 31419 43587 62838 87174 101239 202478 303717 582997 607434 911151 1165994 1748991 1822302 3497982 5246973 10493946 16906913 33813826 50720739 101441478 152162217 304324434