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316104192 = 2932181379
BaseRepresentation
bin10010110101110…
…101111000000000
3211000210202102200
4102311311320000
51121410313232
651211113200
710555561365
oct2265657000
9730722380
10316104192
11152483838
1289a42800
1350648c01
142dda646c
151cb4077c
hex12d75e00

316104192 has 120 divisors (see below), whose sum is σ = 919758840. Its totient is φ = 104509440.

The previous prime is 316104127. The next prime is 316104193. The reversal of 316104192 is 291401613.

316104192 is a `hidden beast` number, since 3 + 1 + 610 + 41 + 9 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316104193) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 833859 + ... + 834237.

It is an arithmetic number, because the mean of its divisors is an integer number (7664657).

Almost surely, 2316104192 is an apocalyptic number.

316104192 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 316104192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459879420).

316104192 is an abundant number, since it is smaller than the sum of its proper divisors (603654648).

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

316104192 is a wasteful number, since it uses less digits than its factorization.

316104192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 316104192 is about 17779.3192220625. The cubic root of 316104192 is about 681.2033134462.

The spelling of 316104192 in words is "three hundred sixteen million, one hundred four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 181 192 256 288 362 379 384 512 543 576 724 758 768 1086 1137 1152 1448 1516 1536 1629 2172 2274 2304 2896 3032 3258 3411 4344 4548 4608 5792 6064 6516 6822 8688 9096 11584 12128 13032 13644 17376 18192 23168 24256 26064 27288 34752 36384 46336 48512 52128 54576 68599 69504 72768 92672 97024 104256 109152 137198 139008 145536 194048 205797 208512 218304 274396 278016 291072 411594 417024 436608 548792 582144 617391 823188 834048 873216 1097584 1234782 1646376 1746432 2195168 2469564 3292752 4390336 4939128 6585504 8780672 9878256 13171008 17561344 19756512 26342016 35122688 39513024 52684032 79026048 105368064 158052096 316104192