Search a number
-
+
311399604 = 223273118493
BaseRepresentation
bin10010100011111…
…001010010110100
3210200221201221200
4102203321102310
51114204241404
650522212500
710500565365
oct2243712264
9720851850
10311399604
1114a86014a
1288354130
134c68c729
142d4ddb6c
151c511839
hex128f94b4

311399604 has 36 divisors (see below), whose sum is σ = 797938596. Its totient is φ = 102377088.

The previous prime is 311399603. The next prime is 311399611. The reversal of 311399604 is 406993113.

311399604 is a `hidden beast` number, since 3 + 11 + 39 + 9 + 604 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 93896100 + 217503504 = 9690^2 + 14748^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311399603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56619 + ... + 61874.

It is an arithmetic number, because the mean of its divisors is an integer number (22164961).

Almost surely, 2311399604 is an apocalyptic number.

It is an amenable number.

311399604 is an abundant number, since it is smaller than the sum of its proper divisors (486538992).

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

311399604 is a wasteful number, since it uses less digits than its factorization.

311399604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118576 (or 118571 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 311399604 is about 17646.5181834831. The cubic root of 311399604 is about 677.8069515905.

The spelling of 311399604 in words is "three hundred eleven million, three hundred ninety-nine thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2628 118493 236986 355479 473972 710958 1066437 1421916 2132874 4265748 8649989 17299978 25949967 34599956 51899934 77849901 103799868 155699802 311399604