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66490344 = 23322693433
BaseRepresentation
bin1111110110100…
…0111111101000
311122010001121100
43331220333220
5114010142334
610333041400
71435105254
oct375507750
9148101540
1066490344
11345941a8
121a326260
1310a101cb
148b8b264
155c85c99
hex3f68fe8

66490344 has 48 divisors (see below), whose sum is σ = 180800100. Its totient is φ = 22074624.

The previous prime is 66490339. The next prime is 66490357. The reversal of 66490344 is 44309466.

66490344 is a `hidden beast` number, since 6 + 649 + 0 + 3 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 58706244 + 7784100 = 7662^2 + 2790^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 66490299 and 66490308.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 17652 + ... + 21084.

Almost surely, 266490344 is an apocalyptic number.

It is an amenable number.

66490344 is an abundant number, since it is smaller than the sum of its proper divisors (114309756).

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

66490344 is a wasteful number, since it uses less digits than its factorization.

66490344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3714 (or 3707 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 66490344 is about 8154.1611463105. The cubic root of 66490344 is about 405.1223407264.

The spelling of 66490344 in words is "sixty-six million, four hundred ninety thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 269 538 807 1076 1614 2152 2421 3228 3433 4842 6456 6866 9684 10299 13732 19368 20598 27464 30897 41196 61794 82392 123588 247176 923477 1846954 2770431 3693908 5540862 7387816 8311293 11081724 16622586 22163448 33245172 66490344