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318072928 = 2529253223
BaseRepresentation
bin10010111101010…
…110100001100000
3211011111210000211
4102331112201200
51122411313203
651321223504
710611401215
oct2275264140
9734453024
10318072928
111535a8998
128a631b94
1350b88044
1430359b0c
151cdcdc6d
hex12f56860

318072928 has 72 divisors (see below), whose sum is σ = 663743808. Its totient is φ = 149979648.

The previous prime is 318072913. The next prime is 318072959. The reversal of 318072928 is 829270813.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1426225 + ... + 1426447.

It is an arithmetic number, because the mean of its divisors is an integer number (9218664).

Almost surely, 2318072928 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 318072928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331871904).

318072928 is an abundant number, since it is smaller than the sum of its proper divisors (345670880).

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

318072928 is a wasteful number, since it uses less digits than its factorization.

318072928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 318072928 is about 17834.5991824880. The cubic root of 318072928 is about 682.6145937725.

The spelling of 318072928 in words is "three hundred eighteen million, seventy-two thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 29 32 53 58 106 116 212 223 232 424 446 464 841 848 892 928 1537 1682 1696 1784 3074 3364 3568 6148 6467 6728 7136 11819 12296 12934 13456 23638 24592 25868 26912 44573 47276 49184 51736 89146 94552 103472 178292 187543 189104 206944 342751 356584 375086 378208 685502 713168 750172 1371004 1426336 1500344 2742008 3000688 5484016 6001376 9939779 10968032 19879558 39759116 79518232 159036464 318072928