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30388508329 = 47237092
BaseRepresentation
bin11100010011010010…
…111101011010101001
32220102211100011121111
4130103102331122221
5444213424231304
621543231110321
72124025026124
oct342322753251
986384304544
1030388508329
11119845800a3
125a810723a1
132b33a11b9a
141683c9b3bb
15bcccbc704
hex7134bd6a9

30388508329 has 9 divisors (see below), whose sum is σ = 31057202487. Its totient is φ = 29733925464.

The previous prime is 30388508251. The next prime is 30388508393. The reversal of 30388508329 is 92380588303.

It is a happy number.

The square root of 30388508329 is 174323.

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

It can be written as a sum of positive squares in only one way, i.e., 8050216729 + 22338291600 = 89723^2 + 149460^2 .

It is not a de Polignac number, because 30388508329 - 215 = 30388475561 is a prime.

It is a super-2 number, since 2×303885083292 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (30388503329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8191327 + ... + 8195035.

Almost surely, 230388508329 is an apocalyptic number.

30388508329 is the 174323-rd square number.

30388508329 is the 87162-nd centered octagonal number.

It is an amenable number.

30388508329 is a deficient number, since it is larger than the sum of its proper divisors (668694158).

30388508329 is an frugal number, since it uses more digits than its factorization.

30388508329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7512 (or 3756 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

Multiplying 30388508329 by its sum of digits (49), we get a square (1489036908121 = 12202612).

The spelling of 30388508329 in words is "thirty billion, three hundred eighty-eight million, five hundred eight thousand, three hundred twenty-nine".

Divisors: 1 47 2209 3709 174323 8193181 13756681 646564007 30388508329