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313312014 = 232191516067
BaseRepresentation
bin10010101011001…
…100001100001110
3210211112220021200
4102223030030032
51120201441024
651031210330
710523052051
oct2253141416
9724486250
10313312014
11150946a54
1288b169a6
134cbac032
142d87aa98
151c78d2c9
hex12acc30e

313312014 has 48 divisors (see below), whose sum is σ = 719422080. Its totient is φ = 98269200.

The previous prime is 313311997. The next prime is 313312039. The reversal of 313312014 is 410213313.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 48609 + ... + 54675.

It is an arithmetic number, because the mean of its divisors is an integer number (14987960).

Almost surely, 2313312014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313312014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359711040).

313312014 is an abundant number, since it is smaller than the sum of its proper divisors (406110066).

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

313312014 is a wasteful number, since it uses less digits than its factorization.

313312014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6245 (or 6242 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 313312014 is about 17700.6218534830. The cubic root of 313312014 is about 679.1916678131.

Adding to 313312014 its reverse (410213313), we get a palindrome (723525327).

The spelling of 313312014 in words is "three hundred thirteen million, three hundred twelve thousand, fourteen".

Divisors: 1 2 3 6 9 18 19 38 57 114 151 171 302 342 453 906 1359 2718 2869 5738 6067 8607 12134 17214 18201 25821 36402 51642 54603 109206 115273 230546 345819 691638 916117 1037457 1832234 2074914 2748351 5496702 8245053 16490106 17406223 34812446 52218669 104437338 156656007 313312014