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930388329 = 331322711677
BaseRepresentation
bin110111011101001…
…001100101101001
32101211200121212000
4313131021211221
53401134411304
6232153241213
732025112263
oct6735114551
92354617760
10930388329
114381a8582
1221b703209
1311a9a6350
148b7cab33
1556a30939
hex37749969

930388329 has 32 divisors (see below), whose sum is σ = 1491047040. Its totient is φ = 569975616.

The previous prime is 930388309. The next prime is 930388351. The reversal of 930388329 is 923883039.

It is not a de Polignac number, because 930388329 - 25 = 930388297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (930388309) 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 31 ways as a sum of consecutive naturals, for example, 73839 + ... + 85515.

It is an arithmetic number, because the mean of its divisors is an integer number (46595220).

Almost surely, 2930388329 is an apocalyptic number.

It is an amenable number.

930388329 is a deficient number, since it is larger than the sum of its proper divisors (560658711).

930388329 is a wasteful number, since it uses less digits than its factorization.

930388329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11926 (or 11920 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 930388329 is about 30502.2676042290. The cubic root of 930388329 is about 976.2358482398.

The spelling of 930388329 in words is "nine hundred thirty million, three hundred eighty-eight thousand, three hundred twenty-nine".

Divisors: 1 3 9 13 27 39 117 227 351 681 2043 2951 6129 8853 11677 26559 35031 79677 105093 151801 315279 455403 1366209 2650679 4098627 7952037 23856111 34458827 71568333 103376481 310129443 930388329