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234144261 = 32132153941
BaseRepresentation
bin11011111010011…
…00001000000101
3121022120202112200
431331030020011
5434420104021
635122305113
75542123221
oct1575141005
9538522480
10234144261
1111019405a
12664b8199
1339680700
142314d781
1515851126
hexdf4c205

234144261 has 18 divisors (see below), whose sum is σ = 366228018. Its totient is φ = 144087840.

The previous prime is 234144223. The next prime is 234144283. The reversal of 234144261 is 162441432.

It is a happy number.

234144261 is a `hidden beast` number, since 234 + 1 + 4 + 426 + 1 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2160900 + 231983361 = 1470^2 + 15231^2 .

It is not a de Polignac number, because 234144261 - 27 = 234144133 is a prime.

It is a super-2 number, since 2×2341442612 = 109647069918472242, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234144221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 75450 + ... + 78491.

It is an arithmetic number, because the mean of its divisors is an integer number (20346001).

Almost surely, 2234144261 is an apocalyptic number.

It is an amenable number.

234144261 is a deficient number, since it is larger than the sum of its proper divisors (132083757).

234144261 is a wasteful number, since it uses less digits than its factorization.

234144261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153973 (or 153957 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 234144261 is about 15301.7731325491. The cubic root of 234144261 is about 616.3506227956.

Adding to 234144261 its reverse (162441432), we get a palindrome (396585693).

The spelling of 234144261 in words is "two hundred thirty-four million, one hundred forty-four thousand, two hundred sixty-one".

Divisors: 1 3 9 13 39 117 169 507 1521 153941 461823 1385469 2001233 6003699 18011097 26016029 78048087 234144261