Search a number
-
+
234356031 = 3371395383
BaseRepresentation
bin11011111011111…
…11110100111111
3121022222112001000
431331333310333
5434443343111
635131021343
75543664510
oct1575776477
9538875030
10234356031
11110319178
126659a853
1339725c10
14231a6a07
1515893c56
hexdf7fd3f

234356031 has 32 divisors (see below), whose sum is σ = 427320320. Its totient is φ = 123615072.

The previous prime is 234356009. The next prime is 234356093. The reversal of 234356031 is 130653432.

It is a happy number.

234356031 is a `hidden beast` number, since 23 + 4 + 35 + 603 + 1 = 666.

It is not a de Polignac number, because 234356031 - 214 = 234339647 is a prime.

It is a super-3 number, since 3×2343560313 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 234355986 and 234356004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234356231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45235 + ... + 50148.

It is an arithmetic number, because the mean of its divisors is an integer number (13353760).

Almost surely, 2234356031 is an apocalyptic number.

234356031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

234356031 is a deficient number, since it is larger than the sum of its proper divisors (192964289).

234356031 is a wasteful number, since it uses less digits than its factorization.

234356031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95412 (or 95406 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 234356031 is about 15308.6913549134. The cubic root of 234356031 is about 616.5363846843.

The spelling of 234356031 in words is "two hundred thirty-four million, three hundred fifty-six thousand, thirty-one".

Divisors: 1 3 7 9 13 21 27 39 63 91 117 189 273 351 819 2457 95383 286149 667681 858447 1239979 2003043 2575341 3719937 6009129 8679853 11159811 18027387 26039559 33479433 78118677 234356031