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66341025 = 34521812
BaseRepresentation
bin1111110100010…
…0100010100001
311121211110210000
43331010202201
5113440403100
610325530213
71433614032
oct375044241
9147743700
1066341025
11344a1aa3
121a273969
131098a25a
148b4ca89
155c56900
hex3f448a1

66341025 has 45 divisors (see below), whose sum is σ = 123569193. Its totient is φ = 35186400.

The previous prime is 66341003. The next prime is 66341029. The reversal of 66341025 is 52014366.

The square root of 66341025 is 8145.

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

66341025 is a `hidden beast` number, since 6 + 634 + 1 + 0 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 35605089 + 30735936 = 5967^2 + 5544^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 66341025 - 215 = 66308257 is a prime.

It is a super-2 number, since 2×663410252 = 8802263196101250, which contains 22 as substring.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 66341025.

It is not an unprimeable number, because it can be changed into a prime (66341029) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 366435 + ... + 366615.

Almost surely, 266341025 is an apocalyptic number.

66341025 is the 8145-th square number.

66341025 is the 4073-rd centered octagonal number.

It is an amenable number.

66341025 is a deficient number, since it is larger than the sum of its proper divisors (57228168).

66341025 is an equidigital number, since it uses as much as digits as its factorization.

66341025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The cubic root of 66341025 is about 404.8188490269.

The spelling of 66341025 in words is "sixty-six million, three hundred forty-one thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 181 225 405 543 675 905 1629 2025 2715 4525 4887 8145 13575 14661 24435 32761 40725 73305 98283 122175 163805 294849 366525 491415 819025 884547 1474245 2457075 2653641 4422735 7371225 13268205 22113675 66341025