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304121216 = 2771312591
BaseRepresentation
bin10010001000001…
…000010110000000
3210012020221212202
4102020020112000
51110323334331
650102212332
710351662530
oct2210102600
9705227782
10304121216
11146739853
1285a240a8
134b0118a9
142c5674c0
151ba74ecb
hex12208580

304121216 has 64 divisors (see below), whose sum is σ = 697973760. Its totient is φ = 129292800.

The previous prime is 304121189. The next prime is 304121281. The reversal of 304121216 is 612121403.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116081 + ... + 118671.

It is an arithmetic number, because the mean of its divisors is an integer number (10905840).

Almost surely, 2304121216 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 304121216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348986880).

304121216 is an abundant number, since it is smaller than the sum of its proper divisors (393852544).

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

304121216 is a wasteful number, since it uses less digits than its factorization.

304121216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2743 (or 2731 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 304121216 is about 17439.0715349184. The cubic root of 304121216 is about 672.4844390479.

Adding to 304121216 its reverse (612121403), we get a palindrome (916242619).

The spelling of 304121216 in words is "three hundred four million, one hundred twenty-one thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 131 224 262 448 524 896 917 1048 1834 2096 2591 3668 4192 5182 7336 8384 10364 14672 16768 18137 20728 29344 36274 41456 58688 72548 82912 117376 145096 165824 290192 331648 339421 580384 678842 1160768 1357684 2321536 2375947 2715368 4751894 5430736 9503788 10861472 19007576 21722944 38015152 43445888 76030304 152060608 304121216