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316056450 = 235219432579
BaseRepresentation
bin10010110101101…
…010001110000010
3211000201022221110
4102311222032002
51121402301300
651210104150
710555302243
oct2265521602
9730638843
10316056450
11152450986
1289a1b056
1350630268
142dd92cca
151cb31550
hex12d6a382

316056450 has 96 divisors (see below), whose sum is σ = 844588800. Its totient is φ = 77958720.

The previous prime is 316056421. The next prime is 316056473. The reversal of 316056450 is 54650613.

316056450 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3160564503 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121261 + ... + 123839.

It is an arithmetic number, because the mean of its divisors is an integer number (8797800).

Almost surely, 2316056450 is an apocalyptic number.

316056450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 316056450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422294400).

316056450 is an abundant number, since it is smaller than the sum of its proper divisors (528532350).

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

316056450 is a wasteful number, since it uses less digits than its factorization.

316056450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2656 (or 2651 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 316056450 is about 17777.9765440277. The cubic root of 316056450 is about 681.1690171110.

The spelling of 316056450 in words is "three hundred sixteen million, fifty-six thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 43 50 57 75 86 95 114 129 150 190 215 258 285 430 475 570 645 817 950 1075 1290 1425 1634 2150 2451 2579 2850 3225 4085 4902 5158 6450 7737 8170 12255 12895 15474 20425 24510 25790 38685 40850 49001 61275 64475 77370 98002 110897 122550 128950 147003 193425 221794 245005 294006 332691 386850 490010 554485 665382 735015 1108970 1225025 1470030 1663455 2107043 2450050 2772425 3326910 3675075 4214086 5544850 6321129 7350150 8317275 10535215 12642258 16634550 21070430 31605645 52676075 63211290 105352150 158028225 316056450