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381303729 = 322322832
BaseRepresentation
bin10110101110100…
…011101110110001
3222120111020101100
4112232203232301
51240103204404
6101500355013
712310012452
oct2656435661
9876436340
10381303729
11186266154
12a7845a69
1360cc6711
14388d9129
152371dd39
hex16ba3bb1

381303729 has 27 divisors (see below), whose sum is σ = 577801497. Its totient is φ = 242291016.

The previous prime is 381303719. The next prime is 381303739. The reversal of 381303729 is 927303183.

It is a happy number.

The square root of 381303729 is 19527.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (381303719) and next prime (381303739).

It is not a de Polignac number, because 381303729 - 227 = 247086001 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 381303693 and 381303702.

It is not an unprimeable number, because it can be changed into a prime (381303719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1347222 + ... + 1347504.

Almost surely, 2381303729 is an apocalyptic number.

381303729 is the 19527-th square number.

381303729 is the 9764-th centered octagonal number.

It is an amenable number.

381303729 is a deficient number, since it is larger than the sum of its proper divisors (196497768).

381303729 is an equidigital number, since it uses as much as digits as its factorization.

381303729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The cubic root of 381303729 is about 725.1430420891.

Multiplying 381303729 by its sum of digits (36), we get a square (13726934244 = 1171622).

The spelling of 381303729 in words is "three hundred eighty-one million, three hundred three thousand, seven hundred twenty-nine".

Divisors: 1 3 9 23 69 207 283 529 849 1587 2547 4761 6509 19527 58581 80089 149707 240267 449121 720801 1347363 1842047 5526141 16578423 42367081 127101243 381303729