Search a number
-
+
561076344 = 233231125057
BaseRepresentation
bin100001011100010…
…101100001111000
31110002202122001100
4201130111201320
52122113420334
6131401451400
716622033043
oct4134254170
91402678040
10561076344
11268792a64
12137aa0b60
138c31ac4a
1454733c5a
15343cec99
hex21715878

561076344 has 48 divisors (see below), whose sum is σ = 1524528720. Its totient is φ = 186416640.

The previous prime is 561076343. The next prime is 561076361. The reversal of 561076344 is 443670165.

It is a happy number.

561076344 is a `hidden beast` number, since 5 + 6 + 10 + 7 + 634 + 4 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 561076299 and 561076308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561076343) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 9864 + ... + 34920.

It is an arithmetic number, because the mean of its divisors is an integer number (31761015).

Almost surely, 2561076344 is an apocalyptic number.

It is an amenable number.

561076344 is an abundant number, since it is smaller than the sum of its proper divisors (963452376).

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

561076344 is a wasteful number, since it uses less digits than its factorization.

561076344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25380 (or 25373 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 561076344 is about 23687.0501329313. The cubic root of 561076344 is about 824.7848077862.

The spelling of 561076344 in words is "five hundred sixty-one million, seventy-six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 311 622 933 1244 1866 2488 2799 3732 5598 7464 11196 22392 25057 50114 75171 100228 150342 200456 225513 300684 451026 601368 902052 1804104 7792727 15585454 23378181 31170908 46756362 62341816 70134543 93512724 140269086 187025448 280538172 561076344