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313868280 = 2335111771197
BaseRepresentation
bin10010101101010…
…011111111111000
3210212121011100010
4102231103333320
51120322241110
651051141520
710530556605
oct2255237770
9725534303
10313868280
11151196980
12891448a0
135004529b
142d9836ac
151c84d020
hex12b53ff8

313868280 has 256 divisors, whose sum is σ = 1108546560. Its totient is φ = 70246400.

The previous prime is 313868249. The next prime is 313868287. The reversal of 313868280 is 82868313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313868287) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1593142 + ... + 1593338.

It is an arithmetic number, because the mean of its divisors is an integer number (4330260).

Almost surely, 2313868280 is an apocalyptic number.

313868280 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313868280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554273280).

313868280 is an abundant number, since it is smaller than the sum of its proper divisors (794678280).

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

313868280 is a wasteful number, since it uses less digits than its factorization.

313868280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 313868280 is about 17716.3280619885. The cubic root of 313868280 is about 679.5933843579.

The spelling of 313868280 in words is "three hundred thirteen million, eight hundred sixty-eight thousand, two hundred eighty".