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234644328801 = 3261226472
BaseRepresentation
bin1101101010000111100…
…1000101000101100001
3211102122202200221021100
43122201321011011201
512321022422010201
6255443310145013
722644463613031
oct3324171050541
9742582627240
10234644328801
119056a6741a3
1239585ab2169
131918595250c
14b4dd2858c1
156184b9a886
hex36a1e45161

234644328801 has 27 divisors (see below), whose sum is σ = 344708250003. Its totient is φ = 153807005520.

The previous prime is 234644328761. The next prime is 234644328827. The reversal of 234644328801 is 108823446432.

It is a happy number.

The square root of 234644328801 is 484401.

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., 7630197201 + 227014131600 = 87351^2 + 476460^2 .

It is not a de Polignac number, because 234644328801 - 219 = 234643804513 is a prime.

It is a super-2 number, since 2×2346443288012 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (234604328801) 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 26 ways as a sum of consecutive naturals, for example, 88644060 + ... + 88646706.

Almost surely, 2234644328801 is an apocalyptic number.

234644328801 is the 484401-st square number.

234644328801 is the 242201-st centered octagonal number.

It is an amenable number.

234644328801 is a deficient number, since it is larger than the sum of its proper divisors (110063921202).

234644328801 is an frugal number, since it uses more digits than its factorization.

234644328801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5422 (or 2711 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 234644328801 in words is "two hundred thirty-four billion, six hundred forty-four million, three hundred twenty-eight thousand, eight hundred one".

Divisors: 1 3 9 61 183 549 2647 3721 7941 11163 23823 33489 161467 484401 1453203 7006609 9849487 21019827 29548461 63059481 88645383 427403149 1282209447 3846628341 26071592089 78214776267 234644328801