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304345116 = 223219479467
BaseRepresentation
bin10010001000111…
…111000000011100
3210012200100000100
4102020333000130
51110403020431
650111101100
710353614355
oct2210770034
9705610010
10304345116
11146881a99
1285b11790
134b08c78a
142c5c4d2c
151babb4e6
hex1223f01c

304345116 has 72 divisors (see below), whose sum is σ = 827124480. Its totient is φ = 94054176.

The previous prime is 304345109. The next prime is 304345127. The reversal of 304345116 is 611543403.

304345116 is a `hidden beast` number, since 304 + 345 + 1 + 16 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 304345116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27415 + ... + 36881.

It is an arithmetic number, because the mean of its divisors is an integer number (11487840).

Almost surely, 2304345116 is an apocalyptic number.

304345116 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 304345116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413562240).

304345116 is an abundant number, since it is smaller than the sum of its proper divisors (522779364).

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

304345116 is a wasteful number, since it uses less digits than its factorization.

304345116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9543 (or 9538 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 304345116 is about 17445.4898469490. The cubic root of 304345116 is about 672.6494306394.

Adding to 304345116 its reverse (611543403), we get a palindrome (915888519).

The spelling of 304345116 in words is "three hundred four million, three hundred forty-five thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 47 57 76 94 114 141 171 188 228 282 342 423 564 684 846 893 1692 1786 2679 3572 5358 8037 9467 10716 16074 18934 28401 32148 37868 56802 85203 113604 170406 179873 340812 359746 444949 539619 719492 889898 1079238 1334847 1618857 1779796 2158476 2669694 3237714 4004541 5339388 6475428 8009082 8454031 16018164 16908062 25362093 33816124 50724186 76086279 101448372 152172558 304345116