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316106448 = 24372134399
BaseRepresentation
bin10010110101110…
…110011011010000
3211000210212112020
4102311312123100
51121410401243
651211131440
710555601100
oct2265663320
9730725466
10316106448
111524854a9
1289a43b80
1350649c48
142dda7200
151cb41283
hex12d766d0

316106448 has 60 divisors (see below), whose sum is σ = 949939200. Its totient is φ = 90315456.

The previous prime is 316106437. The next prime is 316106471. The reversal of 316106448 is 844601613.

316106448 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64848 + ... + 69551.

It is an arithmetic number, because the mean of its divisors is an integer number (15832320).

Almost surely, 2316106448 is an apocalyptic number.

It is an amenable number.

316106448 is an abundant number, since it is smaller than the sum of its proper divisors (633832752).

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

316106448 is a wasteful number, since it uses less digits than its factorization.

316106448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134424 (or 134411 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 316106448 is about 17779.3826664482. The cubic root of 316106448 is about 681.2049339995.

The spelling of 316106448 in words is "three hundred sixteen million, one hundred six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 134399 268798 403197 537596 806394 940793 1075192 1612788 1881586 2150384 2822379 3225576 3763172 5644758 6451152 6585551 7526344 11289516 13171102 15052688 19756653 22579032 26342204 39513306 45158064 52684408 79026612 105368816 158053224 316106448