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316006416 = 243211199499
BaseRepresentation
bin10010110101011…
…110000000010000
3211000121210022100
4102311132000100
51121344201131
651205040400
710555003335
oct2265360020
9730553270
10316006416
11152417330
12899b6100
135061355b
142dd7c98c
151cb217e6
hex12d5e010

316006416 has 60 divisors (see below), whose sum is σ = 964782000. Its totient is φ = 95759040.

The previous prime is 316006409. The next prime is 316006433. The reversal of 316006416 is 614600613.

316006416 is a `hidden beast` number, since 3 + 16 + 0 + 0 + 641 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 316006416.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98166 + ... + 101333.

It is an arithmetic number, because the mean of its divisors is an integer number (16079700).

Almost surely, 2316006416 is an apocalyptic number.

316006416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

316006416 is an abundant number, since it is smaller than the sum of its proper divisors (648775584).

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

316006416 is a wasteful number, since it uses less digits than its factorization.

316006416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199524 (or 199515 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 316006416 is about 17776.5692978145. The cubic root of 316006416 is about 681.1330705691.

The spelling of 316006416 in words is "three hundred sixteen million, six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 199499 398998 598497 797996 1196994 1595992 1795491 2194489 2393988 3191984 3590982 4388978 4787976 6583467 7181964 8777956 9575952 13166934 14363928 17555912 19750401 26333868 28727856 35111824 39500802 52667736 79001604 105335472 158003208 316006416