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313040016 = 24322173889
BaseRepresentation
bin10010101010001…
…001110010010000
3210211001002011200
4102222021302100
51120114240031
651021311200
710520540052
oct2252116220
9724032150
10313040016
11150780663
1288a05500
134cb152a3
142d8098d2
151c7378e6
hex12a89c90

313040016 has 30 divisors (see below), whose sum is σ = 876077670. Its totient is φ = 104346624.

The previous prime is 313040009. The next prime is 313040027. The reversal of 313040016 is 610040313.

It can be written as a sum of positive squares in only one way, i.e., 201526416 + 111513600 = 14196^2 + 10560^2 .

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

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 5 ways as a sum of consecutive naturals, for example, 1086801 + ... + 1087088.

It is an arithmetic number, because the mean of its divisors is an integer number (29202589).

Almost surely, 2313040016 is an apocalyptic number.

313040016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

313040016 is an abundant number, since it is smaller than the sum of its proper divisors (563037654).

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

313040016 is a wasteful number, since it uses less digits than its factorization.

313040016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2173903 (or 2173894 counting only the distinct ones).

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

The square root of 313040016 is about 17692.9368958350. The cubic root of 313040016 is about 678.9950669249.

Adding to 313040016 its reverse (610040313), we get a palindrome (923080329).

The spelling of 313040016 in words is "three hundred thirteen million, forty thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2173889 4347778 6521667 8695556 13043334 17391112 19565001 26086668 34782224 39130002 52173336 78260004 104346672 156520008 313040016