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316229004 = 2232713831163
BaseRepresentation
bin10010110110010…
…100010110001100
3211001001002122100
4102312110112030
51121423312004
651213515100
710556621310
oct2266242614
9731032570
10316229004
11152559593
1289aa2a90
1350690970
142ddd9b40
151cb67739
hex12d9458c

316229004 has 144 divisors (see below), whose sum is σ = 996532992. Its totient is φ = 82325376.

The previous prime is 316228981. The next prime is 316229051. The reversal of 316229004 is 400922613.

316229004 is a `hidden beast` number, since 31 + 622 + 9 + 0 + 0 + 4 = 666.

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 47 ways as a sum of consecutive naturals, for example, 271327 + ... + 272489.

It is an arithmetic number, because the mean of its divisors is an integer number (6920368).

Almost surely, 2316229004 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 316229004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498266496).

316229004 is an abundant number, since it is smaller than the sum of its proper divisors (680303988).

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

316229004 is a wasteful number, since it uses less digits than its factorization.

316229004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 316229004 is about 17782.8289088098. The cubic root of 316229004 is about 681.2929581081.

The spelling of 316229004 in words is "three hundred sixteen million, two hundred twenty-nine thousand, four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 83 84 91 117 126 156 166 182 234 249 252 273 332 364 468 498 546 581 747 819 996 1079 1092 1162 1163 1494 1638 1743 2158 2324 2326 2988 3237 3276 3486 3489 4316 4652 5229 6474 6972 6978 7553 8141 9711 10458 10467 12948 13956 15106 15119 16282 19422 20916 20934 22659 24423 30212 30238 32564 38844 41868 45318 45357 48846 60476 67977 73269 90636 90714 96529 97692 105833 135954 136071 146538 181428 193058 211666 271908 272142 289587 293076 317499 386116 423332 544284 579174 634998 675703 868761 952497 1158348 1254877 1269996 1351406 1737522 1904994 2027109 2509754 2702812 3475044 3764631 3809988 4054218 5019508 6081327 7529262 8108436 8784139 11293893 12162654 15058524 17568278 22587786 24325308 26352417 35136556 45175572 52704834 79057251 105409668 158114502 316229004