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423444312 = 233229202799
BaseRepresentation
bin11001001111010…
…011111101011000
31002111210012101200
4121033103331120
51331400204222
6110003514200
713331134344
oct3117237530
91074705350
10423444312
111a8028a85
12b9988960
136995c685
1440348624
1527294eac
hex193d3f58

423444312 has 48 divisors (see below), whose sum is σ = 1186380000. Its totient is φ = 136280256.

The previous prime is 423444299. The next prime is 423444319. The reversal of 423444312 is 213444324.

It is a happy number.

423444312 is a `hidden beast` number, since 4 + 2 + 344 + 4 + 312 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423444319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99312 + ... + 103487.

It is an arithmetic number, because the mean of its divisors is an integer number (24716250).

Almost surely, 2423444312 is an apocalyptic number.

It is an amenable number.

423444312 is an abundant number, since it is smaller than the sum of its proper divisors (762935688).

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

423444312 is a wasteful number, since it uses less digits than its factorization.

423444312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202840 (or 202833 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 423444312 is about 20577.7625605895. The cubic root of 423444312 is about 750.9288119364.

Adding to 423444312 its reverse (213444324), we get a palindrome (636888636).

It can be divided in two parts, 42344 and 4312, that added together give a 6-th power (46656 = 66).

The spelling of 423444312 in words is "four hundred twenty-three million, four hundred forty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 202799 405598 608397 811196 1216794 1622392 1825191 2433588 3650382 4867176 5881171 7300764 11762342 14601528 17643513 23524684 35287026 47049368 52930539 70574052 105861078 141148104 211722156 423444312