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128346241 = 113292
BaseRepresentation
bin1111010011001…
…10100010000001
322221111122221111
413221212202001
5230324034431
620422523321
73115632202
oct751464201
9287448844
10128346241
11664a2481
1236b96541
1320789b2a
141308d5a9
15b4037b1
hex7a66881

128346241 has 3 divisors (see below), whose sum is σ = 128357571. Its totient is φ = 128334912.

The previous prime is 128346217. The next prime is 128346247. The reversal of 128346241 is 142643821.

The square root of 128346241 is 11329.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 45171841 + 83174400 = 6721^2 + 9120^2 .

It is not a de Polignac number, because 128346241 - 29 = 128345729 is a prime.

It is a Duffinian number.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (128346247) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 5665 + ... + 16993.

It is an arithmetic number, because the mean of its divisors is an integer number (42785857).

Almost surely, 2128346241 is an apocalyptic number.

128346241 is the 11329-th square number.

128346241 is the 5665-th centered octagonal number.

It is an amenable number.

128346241 is a deficient number, since it is larger than the sum of its proper divisors (11330).

128346241 is an frugal number, since it uses more digits than its factorization.

128346241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22658 (or 11329 counting only the distinct ones).

The product of its digits is 9216, while the sum is 31.

The cubic root of 128346241 is about 504.4224236802.

Multiplying 128346241 by its product of digits (9216), we get a square (1182838957056 = 10875842).

It can be divided in two parts, 1283 and 46241, that added together give a square (47524 = 2182).

The spelling of 128346241 in words is "one hundred twenty-eight million, three hundred forty-six thousand, two hundred forty-one".

Divisors: 1 11329 128346241