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313000314 = 2311411031123
BaseRepresentation
bin10010101010000…
…000000101111010
3210210222001201020
4102222000011322
51120112002224
651020403310
710520313234
oct2252000572
9723861636
10313000314
11150753850
12889a6536
134cb001b3
142d7d9254
151c72ac79
hex12a8017a

313000314 has 64 divisors (see below), whose sum is σ = 706987008. Its totient is φ = 91555200.

The previous prime is 313000309. The next prime is 313000327. The reversal of 313000314 is 413000313.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 313000293 and 313000302.

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 31 ways as a sum of consecutive naturals, for example, 278157 + ... + 279279.

It is an arithmetic number, because the mean of its divisors is an integer number (11046672).

Almost surely, 2313000314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313000314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353493504).

313000314 is an abundant number, since it is smaller than the sum of its proper divisors (393986694).

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

313000314 is a wasteful number, since it uses less digits than its factorization.

313000314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 313000314 is about 17691.8148871166. The cubic root of 313000314 is about 678.9663606888.

Adding to 313000314 its reverse (413000313), we get a palindrome (726000627).

Subtracting 313000314 from its reverse (413000313), we obtain a palindrome (99999999).

The spelling of 313000314 in words is "three hundred thirteen million, three hundred fourteen", and thus it is an aban number.

Divisors: 1 2 3 6 11 22 33 41 66 82 103 123 206 246 309 451 618 902 1123 1133 1353 2246 2266 2706 3369 3399 4223 6738 6798 8446 12353 12669 24706 25338 37059 46043 46453 74118 92086 92906 115669 138129 139359 231338 276258 278718 347007 506473 694014 1012946 1272359 1519419 2544718 3038838 3817077 4742429 7634154 9484858 14227287 28454574 52166719 104333438 156500157 313000314