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312444412 = 22731596101
BaseRepresentation
bin10010100111111…
…000010111111100
3210202220211011021
4102213320113330
51114441210122
651000433524
710512506440
oct2247702774
9722824137
10312444412
11150404125
12887788a4
134c967167
142d6d2820
151c66b1c7
hex129f85fc

312444412 has 48 divisors (see below), whose sum is σ = 656087040. Its totient is φ = 127368000.

The previous prime is 312444403. The next prime is 312444437. The reversal of 312444412 is 214444213.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 48162 + ... + 54262.

It is an arithmetic number, because the mean of its divisors is an integer number (13668480).

Almost surely, 2312444412 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 312444412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328043520).

312444412 is an abundant number, since it is smaller than the sum of its proper divisors (343642628).

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

312444412 is a wasteful number, since it uses less digits than its factorization.

312444412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6202 (or 6200 counting only the distinct ones).

The product of its digits is 3072, while the sum is 25.

The square root of 312444412 is about 17676.0971936681. The cubic root of 312444412 is about 678.5641646836.

Adding to 312444412 its reverse (214444213), we get a palindrome (526888625).

The spelling of 312444412 in words is "three hundred twelve million, four hundred forty-four thousand, four hundred twelve".

Divisors: 1 2 4 7 14 28 31 59 62 118 124 217 236 413 434 826 868 1652 1829 3658 6101 7316 12202 12803 24404 25606 42707 51212 85414 170828 189131 359959 378262 719918 756524 1323917 1439836 2519713 2647834 5039426 5295668 10078852 11158729 22317458 44634916 78111103 156222206 312444412