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304416612 = 223237449509
BaseRepresentation
bin10010001001010…
…000011101100100
3210012210222002100
4102021100131210
51110412312422
650112412100
710354332663
oct2211203544
9705728070
10304416612
11146920785
1285b47030
134b0b6196
142c602dda
151bad27ac
hex12250764

304416612 has 72 divisors (see below), whose sum is σ = 793611000. Its totient is φ = 98316288.

The previous prime is 304416611. The next prime is 304416641. The reversal of 304416612 is 216614403.

304416612 is a `hidden beast` number, since 3 + 0 + 4 + 41 + 6 + 612 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 170459136 + 133957476 = 13056^2 + 11574^2 .

It is not an unprimeable number, because it can be changed into a prime (304416611) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 597814 + ... + 598322.

It is an arithmetic number, because the mean of its divisors is an integer number (11022375).

Almost surely, 2304416612 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 304416612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396805500).

304416612 is an abundant number, since it is smaller than the sum of its proper divisors (489194388).

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

304416612 is a wasteful number, since it uses less digits than its factorization.

304416612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 304416612 is about 17447.5388522278. The cubic root of 304416612 is about 672.7020988942.

The spelling of 304416612 in words is "three hundred four million, four hundred sixteen thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 449 509 666 898 1018 1332 1347 1527 1796 2036 2694 3054 4041 4581 5388 6108 8082 9162 16164 16613 18324 18833 33226 37666 49839 56499 66452 75332 99678 112998 149517 169497 199356 225996 228541 299034 338994 457082 598068 677988 685623 914164 1371246 2056869 2742492 4113738 8227476 8456017 16912034 25368051 33824068 50736102 76104153 101472204 152208306 304416612