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331032681 = 3272750641
BaseRepresentation
bin10011101110110…
…010100001101001
3212001220012110200
4103232302201221
51134221021211
652503102413
711126505600
oct2356624151
9761805420
10331032681
1115a94a831
1292a41a09
1353774b35
1431d70a37
151e0ddb56
hex13bb2869

331032681 has 18 divisors (see below), whose sum is σ = 556225722. Its totient is φ = 189161280.

The previous prime is 331032679. The next prime is 331032697. The reversal of 331032681 is 186230133.

It is a happy number.

331032681 is a `hidden beast` number, since 331 + 0 + 326 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 218566656 + 112466025 = 14784^2 + 10605^2 .

It is not a de Polignac number, because 331032681 - 21 = 331032679 is a prime.

It is a super-4 number, since 4×3310326814 (a number of 35 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331032661) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 374880 + ... + 375761.

It is an arithmetic number, because the mean of its divisors is an integer number (30901429).

Almost surely, 2331032681 is an apocalyptic number.

It is an amenable number.

331032681 is a deficient number, since it is larger than the sum of its proper divisors (225193041).

331032681 is a wasteful number, since it uses less digits than its factorization.

331032681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750661 (or 750651 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 331032681 is about 18194.3035316002. The cubic root of 331032681 is about 691.7624070177.

The spelling of 331032681 in words is "three hundred thirty-one million, thirty-two thousand, six hundred eighty-one".

Divisors: 1 3 7 9 21 49 63 147 441 750641 2251923 5254487 6755769 15763461 36781409 47290383 110344227 331032681