Search a number
-
+
349424568 = 233219125409
BaseRepresentation
bin10100110100111…
…100101110111000
3220100111121101200
4110310330232320
51203423041233
654401214200
711442026343
oct2464745670
9810447350
10349424568
1116a271939
1299031360
13575142cc
143459b45a
1520a23313
hex14d3cbb8

349424568 has 48 divisors (see below), whose sum is σ = 951350400. Its totient is φ = 115860480.

The previous prime is 349424561. The next prime is 349424587. The reversal of 349424568 is 865424943.

349424568 is a `hidden beast` number, since 3 + 49 + 42 + 4 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349424561) 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, 1048 + ... + 26456.

It is an arithmetic number, because the mean of its divisors is an integer number (19819800).

Almost surely, 2349424568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349424568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475675200).

349424568 is an abundant number, since it is smaller than the sum of its proper divisors (601925832).

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

349424568 is a wasteful number, since it uses less digits than its factorization.

349424568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25612 (or 25605 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 349424568 is about 18692.9015404244. The cubic root of 349424568 is about 704.3434479082.

The spelling of 349424568 in words is "three hundred forty-nine million, four hundred twenty-four thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 191 382 573 764 1146 1528 1719 2292 3438 4584 6876 13752 25409 50818 76227 101636 152454 203272 228681 304908 457362 609816 914724 1829448 4853119 9706238 14559357 19412476 29118714 38824952 43678071 58237428 87356142 116474856 174712284 349424568