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681303241 = 1845736913
BaseRepresentation
bin101000100110111…
…101110011001001
31202110222210100101
4220212331303021
52343403200431
6151334405401
722611660553
oct5046756311
91673883311
10681303241
1131a63a233
12170200861
13ab1c4218
14666ac4d3
153ec2c961
hex289bdcc9

681303241 has 4 divisors (see below), whose sum is σ = 681358612. Its totient is φ = 681247872.

The previous prime is 681303229. The next prime is 681303281. The reversal of 681303241 is 142303186.

681303241 is a nontrivial binomial coefficient, being equal to C(36914, 2).

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 142303186 = 271151593.

It can be written as a sum of positive squares in 2 ways, for example, as 620010000 + 61293241 = 24900^2 + 7829^2 .

It is a 3-Lehmer number, since φ(681303241) divides (681303241-1)3.

It is a cyclic number.

It is not a de Polignac number, because 681303241 - 225 = 647748809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (681303221) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1 + ... + 36913.

It is an arithmetic number, because the mean of its divisors is an integer number (170339653).

It is a Poulet number, since it divides 2681303240-1.

Almost surely, 2681303241 is an apocalyptic number.

681303241 is the 36913-rd triangular number and also the 18457-th hexagonal number.

681303241 is the 12305-th centered nonagonal number.

It is an amenable number.

681303241 is a deficient number, since it is larger than the sum of its proper divisors (55371).

681303241 is a wasteful number, since it uses less digits than its factorization.

681303241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55370.

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 681303241 is about 26101.7861649351. The cubic root of 681303241 is about 879.9273532488.

The spelling of 681303241 in words is "six hundred eighty-one million, three hundred three thousand, two hundred forty-one".

Divisors: 1 18457 36913 681303241