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318513468 = 22371331972
BaseRepresentation
bin10010111111000…
…010000100111100
3211012100011100010
4102333002010330
51123014412333
651334503220
710615214460
oct2277020474
9735304303
10318513468
11153879979
128a804b10
1350cb0710
14304324a0
151ce69563
hex12fc213c

318513468 has 144 divisors (see below), whose sum is σ = 954046464. Its totient is φ = 80455680.

The previous prime is 318513457. The next prime is 318513491. The reversal of 318513468 is 864315813.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3283596 + ... + 3283692.

Almost surely, 2318513468 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 318513468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477023232).

318513468 is an abundant number, since it is smaller than the sum of its proper divisors (635532996).

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

318513468 is a wasteful number, since it uses less digits than its factorization.

318513468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 153 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 318513468 is about 17846.9456210299. The cubic root of 318513468 is about 682.9295952272.

It can be divided in two parts, 3185 and 13468, that added together give a triangular number (16653 = T182).

The spelling of 318513468 in words is "three hundred eighteen million, five hundred thirteen thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 31 39 42 52 62 78 84 91 93 97 124 156 182 186 194 217 273 291 364 372 388 403 434 546 582 651 679 806 868 1092 1164 1209 1261 1302 1358 1612 2037 2418 2522 2604 2716 2821 3007 3783 4074 4836 5044 5642 6014 7566 8148 8463 8827 9021 9409 11284 12028 15132 16926 17654 18042 18818 21049 26481 28227 33852 35308 36084 37636 39091 42098 52962 56454 63147 65863 78182 84196 105924 112908 117273 122317 126294 131726 156364 197589 234546 244634 252588 263452 273637 291679 366951 395178 469092 489268 547274 583358 733902 790356 820911 856219 875037 1094548 1166716 1467804 1641822 1712438 1750074 2041753 2568657 3283644 3424876 3500148 3791827 4083506 5137314 6125259 7583654 8167012 10274628 11375481 12250518 15167308 22750962 24501036 26542789 45501924 53085578 79628367 106171156 159256734 318513468