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66301344 = 2532230213
BaseRepresentation
bin1111110011101…
…0110110100000
311121202110100100
43330322312200
5113433120334
610325022400
71433360244
oct374726640
9147673310
1066301344
11344751aa
121a254a00
1310975185
148b3c424
155c49c99
hex3f3ada0

66301344 has 36 divisors (see below), whose sum is σ = 188545266. Its totient is φ = 22100352.

The previous prime is 66301307. The next prime is 66301363. The reversal of 66301344 is 44310366.

It can be written as a sum of positive squares in only one way, i.e., 52012944 + 14288400 = 7212^2 + 3780^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 114819 + ... + 115394.

Almost surely, 266301344 is an apocalyptic number.

It is an amenable number.

66301344 is an abundant number, since it is smaller than the sum of its proper divisors (122243922).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66301344 is a wasteful number, since it uses less digits than its factorization.

66301344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230229 (or 230218 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 66301344 is about 8142.5637240368. The cubic root of 66301344 is about 404.7381205960.

The spelling of 66301344 in words is "sixty-six million, three hundred one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 230213 460426 690639 920852 1381278 1841704 2071917 2762556 3683408 4143834 5525112 7366816 8287668 11050224 16575336 22100448 33150672 66301344