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317354076 = 2232132967349
BaseRepresentation
bin10010111010100…
…111000001011100
3211010011020221200
4102322213001130
51122220312301
651253555500
710602315354
oct2272470134
9733136850
10317354076
111531578a6
128a345b90
1350995aa0
143020db64
151ccdac86
hex12ea705c

317354076 has 144 divisors (see below), whose sum is σ = 909636000. Its totient is φ = 92606976.

The previous prime is 317354071. The next prime is 317354083. The reversal of 317354076 is 670453713.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 317354076.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (317354071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 909150 + ... + 909498.

Almost surely, 2317354076 is an apocalyptic number.

317354076 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 317354076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454818000).

317354076 is an abundant number, since it is smaller than the sum of its proper divisors (592281924).

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

317354076 is a wasteful number, since it uses less digits than its factorization.

317354076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 317354076 is about 17814.4344844286. The cubic root of 317354076 is about 682.0999644206.

The spelling of 317354076 in words is "three hundred seventeen million, three hundred fifty-four thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 29 36 39 52 58 67 78 87 116 117 134 156 174 201 234 261 268 348 349 377 402 468 522 603 698 754 804 871 1044 1047 1131 1206 1396 1508 1742 1943 2094 2262 2412 2613 3141 3393 3484 3886 4188 4524 4537 5226 5829 6282 6786 7772 7839 9074 10121 10452 11658 12564 13572 13611 15678 17487 18148 20242 23316 23383 25259 27222 30363 31356 34974 40484 40833 46766 50518 54444 60726 69948 70149 75777 81666 91089 93532 101036 121452 131573 140298 151554 163332 182178 210447 227331 263146 280596 303108 303979 364356 394719 420894 454662 526292 607958 678107 789438 841788 909324 911937 1184157 1215916 1356214 1578876 1823874 2034321 2368314 2712428 2735811 3647748 4068642 4736628 5471622 6102963 8137284 8815391 10943244 12205926 17630782 24411852 26446173 35261564 52892346 79338519 105784692 158677038 317354076