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316001916 = 223217836221
BaseRepresentation
bin10010110101011…
…100111001111100
3211000121120010200
4102311130321330
51121344030131
651205003500
710554654246
oct2265347174
9730546120
10316001916
11152413a0a
12899b3590
13506114a9
142dd7b096
151cb202e6
hex12d5ce7c

316001916 has 72 divisors (see below), whose sum is σ = 856097424. Its totient is φ = 97927680.

The previous prime is 316001897. The next prime is 316001921. The reversal of 316001916 is 619100613.

316001916 is a `hidden beast` number, since 31 + 600 + 19 + 16 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 316001916.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47686 + ... + 53906.

It is an arithmetic number, because the mean of its divisors is an integer number (11890242).

Almost surely, 2316001916 is an apocalyptic number.

316001916 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 316001916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428048712).

316001916 is an abundant number, since it is smaller than the sum of its proper divisors (540095508).

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

316001916 is a wasteful number, since it uses less digits than its factorization.

316001916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6331 (or 6326 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 316001916 is about 17776.4427262599. The cubic root of 316001916 is about 681.1298373928.

The spelling of 316001916 in words is "three hundred sixteen million, one thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 83 102 153 166 204 249 306 332 498 612 747 996 1411 1494 2822 2988 4233 5644 6221 8466 12442 12699 16932 18663 24884 25398 37326 50796 55989 74652 105757 111978 211514 223956 317271 423028 516343 634542 951813 1032686 1269084 1549029 1903626 2065372 3098058 3807252 4647087 6196116 8777831 9294174 17555662 18588348 26333493 35111324 52666986 79000479 105333972 158000958 316001916