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316612368 = 24333671997
BaseRepresentation
bin10010110111110…
…001111100010000
3211001202120112000
4102313301330100
51122023043433
651230034000
710563106062
oct2267617420
9731676460
10316612368
111527a0616
128a048900
13507962c7
1430099732
151cbe1113
hex12df1f10

316612368 has 80 divisors (see below), whose sum is σ = 911727360. Its totient is φ = 105197184.

The previous prime is 316612363. The next prime is 316612399. The reversal of 316612368 is 863216613.

316612368 is a `hidden beast` number, since 3 + 1 + 6 + 612 + 36 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (316612363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157546 + ... + 159542.

It is an arithmetic number, because the mean of its divisors is an integer number (11396592).

Almost surely, 2316612368 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 316612368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455863680).

316612368 is an abundant number, since it is smaller than the sum of its proper divisors (595114992).

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

316612368 is a wasteful number, since it uses less digits than its factorization.

316612368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2381 (or 2369 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 316612368 is about 17793.6046938219. The cubic root of 316612368 is about 681.5681571119.

The spelling of 316612368 in words is "three hundred sixteen million, six hundred twelve thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 367 432 734 1101 1468 1997 2202 2936 3303 3994 4404 5872 5991 6606 7988 8808 9909 11982 13212 15976 17616 17973 19818 23964 26424 31952 35946 39636 47928 52848 53919 71892 79272 95856 107838 143784 158544 215676 287568 431352 732899 862704 1465798 2198697 2931596 4397394 5863192 6596091 8794788 11726384 13192182 17589576 19788273 26384364 35179152 39576546 52768728 79153092 105537456 158306184 316612368