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318212316 = 223241792729
BaseRepresentation
bin10010111101111…
…000100011011100
3211011202212020100
4102331320203130
51122430243231
651324221100
710612521462
oct2275704334
9734685210
10318212316
11153693694
128a69a790
1350c06616
1430394832
151ce0a1e6
hex12f788dc

318212316 has 72 divisors (see below), whose sum is σ = 834724800. Its totient is φ = 102136320.

The previous prime is 318212309. The next prime is 318212333. The reversal of 318212316 is 613212813.

It is a happy number.

318212316 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

318212316 is strictly pandigital in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 318212316.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115240 + ... + 117968.

It is an arithmetic number, because the mean of its divisors is an integer number (11593400).

Almost surely, 2318212316 is an apocalyptic number.

318212316 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 318212316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417362400).

318212316 is an abundant number, since it is smaller than the sum of its proper divisors (516512484).

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

318212316 is a wasteful number, since it uses less digits than its factorization.

318212316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2859 (or 2854 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 318212316 is about 17838.5065518389. The cubic root of 318212316 is about 682.7142924885.

The spelling of 318212316 in words is "three hundred eighteen million, two hundred twelve thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 41 79 82 123 158 164 237 246 316 369 474 492 711 738 948 1422 1476 2729 2844 3239 5458 6478 8187 9717 10916 12956 16374 19434 24561 29151 32748 38868 49122 58302 98244 111889 116604 215591 223778 335667 431182 447556 646773 671334 862364 1007001 1293546 1342668 1940319 2014002 2587092 3880638 4028004 7761276 8839231 17678462 26517693 35356924 53035386 79553079 106070772 159106158 318212316