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434030931 = 32239201781
BaseRepresentation
bin11001110111101…
…100100101010011
31010020201001111200
4121313230211103
51342102442211
6111022442243
713520126205
oct3167544523
91106631450
10434030931
11202aa9954
12101433383
136bbc8249
1441902775
1528186b56
hex19dec953

434030931 has 12 divisors (see below), whose sum is σ = 629559840. Its totient is φ = 288141840.

The previous prime is 434030911. The next prime is 434030951. The reversal of 434030931 is 139030434.

It is an interprime number because it is at equal distance from previous prime (434030911) and next prime (434030951).

It is not a de Polignac number, because 434030931 - 25 = 434030899 is a prime.

It is a super-3 number, since 3×4340309313 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 434030895 and 434030904.

It is not an unprimeable number, because it can be changed into a prime (434030911) 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 11 ways as a sum of consecutive naturals, for example, 98740 + ... + 103041.

It is an arithmetic number, because the mean of its divisors is an integer number (52463320).

Almost surely, 2434030931 is an apocalyptic number.

434030931 is a deficient number, since it is larger than the sum of its proper divisors (195528909).

434030931 is a wasteful number, since it uses less digits than its factorization.

434030931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202026 (or 202023 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 434030931 is about 20833.4090105292. The cubic root of 434030931 is about 757.1354138735.

The spelling of 434030931 in words is "four hundred thirty-four million, thirty thousand, nine hundred thirty-one".

Divisors: 1 3 9 239 717 2151 201781 605343 1816029 48225659 144676977 434030931