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316934112 = 253112313049
BaseRepresentation
bin10010111001000…
…000011111100000
3211002100220212110
4102321000133200
51122113342422
651240555320
710565616105
oct2271003740
9732326773
10316934112
111529a0320
128a182b40
13508798a1
1430140aac
151cc5660c
hex12e407e0

316934112 has 96 divisors (see below), whose sum is σ = 947116800. Its totient is φ = 91857920.

The previous prime is 316934087. The next prime is 316934129. The reversal of 316934112 is 211439613.

316934112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 316934112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17764 + ... + 30812.

It is an arithmetic number, because the mean of its divisors is an integer number (9865800).

Almost surely, 2316934112 is an apocalyptic number.

316934112 is a gapful number since it is divisible by the number (32) 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 316934112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473558400).

316934112 is an abundant number, since it is smaller than the sum of its proper divisors (630182688).

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

316934112 is a wasteful number, since it uses less digits than its factorization.

316934112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13096 (or 13088 counting only the distinct ones).

The product of its digits is 3888, while the sum is 30.

The square root of 316934112 is about 17802.6433992259. The cubic root of 316934112 is about 681.7989506075.

The spelling of 316934112 in words is "three hundred sixteen million, nine hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 66 69 88 92 96 132 138 176 184 253 264 276 352 368 506 528 552 736 759 1012 1056 1104 1518 2024 2208 3036 4048 6072 8096 12144 13049 24288 26098 39147 52196 78294 104392 143539 156588 208784 287078 300127 313176 417568 430617 574156 600254 626352 861234 900381 1148312 1200508 1252704 1722468 1800762 2296624 2401016 3301397 3444936 3601524 4593248 4802032 6602794 6889872 7203048 9604064 9904191 13205588 13779744 14406096 19808382 26411176 28812192 39616764 52822352 79233528 105644704 158467056 316934112