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313055616 = 2731515399
BaseRepresentation
bin10010101010001…
…101100110000000
3210211001212120110
4102222031212000
51120120234431
651021511320
710520633406
oct2252154600
9724055513
10313055616
11150791355
1288a12540
134cb1c413
142d811476
151c73c346
hex12a8d980

313055616 has 64 divisors (see below), whose sum is σ = 837216000. Its totient is φ = 103641600.

The previous prime is 313055537. The next prime is 313055621. The reversal of 313055616 is 616550313.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 55285 + ... + 60683.

It is an arithmetic number, because the mean of its divisors is an integer number (13081500).

Almost surely, 2313055616 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 313055616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418608000).

313055616 is an abundant number, since it is smaller than the sum of its proper divisors (524160384).

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

313055616 is a wasteful number, since it uses less digits than its factorization.

313055616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5567 (or 5555 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 313055616 is about 17693.3777442296. The cubic root of 313055616 is about 679.0063457248.

The spelling of 313055616 in words is "three hundred thirteen million, fifty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 151 192 302 384 453 604 906 1208 1812 2416 3624 4832 5399 7248 9664 10798 14496 16197 19328 21596 28992 32394 43192 57984 64788 86384 129576 172768 259152 345536 518304 691072 815249 1036608 1630498 2073216 2445747 3260996 4891494 6521992 9782988 13043984 19565976 26087968 39131952 52175936 78263904 104351872 156527808 313055616