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318504312 = 2334731433
BaseRepresentation
bin10010111110111…
…111110101111000
3211012022200210000
4102332333311320
51123014114222
651334353000
710615146000
oct2276776570
9735280700
10318504312
11153873005
128a7bb760
1350ca94b9
143042d000
151ce669ac
hex12fbfd78

318504312 has 160 divisors (see below), whose sum is σ = 1041084000. Its totient is φ = 90937728.

The previous prime is 318504271. The next prime is 318504341. The reversal of 318504312 is 213405813.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 221548 + ... + 222980.

It is an arithmetic number, because the mean of its divisors is an integer number (6506775).

Almost surely, 2318504312 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 318504312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520542000).

318504312 is an abundant number, since it is smaller than the sum of its proper divisors (722579688).

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

318504312 is a wasteful number, since it uses less digits than its factorization.

318504312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 318504312 is about 17846.6891047051. The cubic root of 318504312 is about 682.9230513246.

The spelling of 318504312 in words is "three hundred eighteen million, five hundred four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 81 84 98 108 126 147 162 168 189 196 216 252 294 324 343 378 392 441 504 567 588 648 686 756 882 1029 1134 1176 1323 1372 1433 1512 1764 2058 2268 2646 2744 2866 3087 3528 3969 4116 4299 4536 5292 5732 6174 7938 8232 8598 9261 10031 10584 11464 12348 12897 15876 17196 18522 20062 24696 25794 27783 30093 31752 34392 37044 38691 40124 51588 55566 60186 70217 74088 77382 80248 90279 103176 111132 116073 120372 140434 154764 180558 210651 222264 232146 240744 270837 280868 309528 361116 421302 464292 491519 541674 561736 631953 722232 812511 842604 928584 983038 1083348 1263906 1474557 1625022 1685208 1895859 1966076 2166696 2527812 2949114 3250044 3791718 3932152 4423671 5055624 5687577 5898228 6500088 7583436 8847342 11375154 11796456 13271013 15166872 17694684 22750308 26542026 35389368 39813039 45500616 53084052 79626078 106168104 159252156 318504312