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316198848 = 26372353193
BaseRepresentation
bin10010110110001…
…100111111000000
3211000222120021110
4102312030333000
51121421330343
651213123320
710556434350
oct2266147700
9730876243
10316198848
11152538969
1289a89540
1350680014
142ddccb60
151cb5d833
hex12d8cfc0

316198848 has 224 divisors, whose sum is σ = 1021787136. Its totient is φ = 84344832.

The previous prime is 316198837. The next prime is 316198889. The reversal of 316198848 is 848891613.

316198848 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 (224).

It is a super-2 number, since 2×3161988482 = 199963422953054208, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 316198797 and 316198806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1638240 + ... + 1638432.

Almost surely, 2316198848 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 316198848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510893568).

316198848 is an abundant number, since it is smaller than the sum of its proper divisors (705588288).

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

316198848 is a wasteful number, since it uses less digits than its factorization.

316198848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 281 counting only the distinct ones).

The product of its digits is 331776, while the sum is 48.

The square root of 316198848 is about 17781.9809920042. The cubic root of 316198848 is about 681.2713010987.

The spelling of 316198848 in words is "three hundred sixteen million, one hundred ninety-eight thousand, eight hundred forty-eight".