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350385768 = 23324866469
BaseRepresentation
bin10100111000100…
…111011001101000
3220102022102220200
4110320213121220
51204144321033
654433552200
711453141565
oct2470473150
9812272820
10350385768
1116a869017
1299415660
135778c975
143476b86c
1520b63013
hex14e27668

350385768 has 24 divisors (see below), whose sum is σ = 948961650. Its totient is φ = 116795232.

The previous prime is 350385757. The next prime is 350385811. The reversal of 350385768 is 867583053.

350385768 is a `hidden beast` number, since 3 + 503 + 85 + 7 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 346629924 + 3755844 = 18618^2 + 1938^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2433163 + ... + 2433306.

Almost surely, 2350385768 is an apocalyptic number.

It is an amenable number.

350385768 is an abundant number, since it is smaller than the sum of its proper divisors (598575882).

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

350385768 is a wasteful number, since it uses less digits than its factorization.

350385768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4866481 (or 4866474 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 350385768 is about 18718.5941779825. The cubic root of 350385768 is about 704.9886945524.

It can be divided in two parts, 350385 and 768, that added together give a palindrome (351153).

The spelling of 350385768 in words is "three hundred fifty million, three hundred eighty-five thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 4866469 9732938 14599407 19465876 29198814 38931752 43798221 58397628 87596442 116795256 175192884 350385768