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66341064 = 23347103571
BaseRepresentation
bin1111110100010…
…0100011001000
311121211110211110
43331010203020
5113440403224
610325530320
71433614116
oct375044310
9147743743
1066341064
11344a2029
121a2739a0
131098a28a
148b4cab6
155c56929
hex3f448c8

66341064 has 64 divisors (see below), whose sum is σ = 171325440. Its totient is φ = 21395520.

The previous prime is 66341029. The next prime is 66341069. The reversal of 66341064 is 46014366.

66341064 = 7512 + 7522 + ... + 8532.

It is a super-2 number, since 2×663410642 = 8802273545304192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (66341069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115899 + ... + 116469.

It is an arithmetic number, because the mean of its divisors is an integer number (2676960).

Almost surely, 266341064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66341064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85662720).

66341064 is an abundant number, since it is smaller than the sum of its proper divisors (104984376).

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

66341064 is a wasteful number, since it uses less digits than its factorization.

66341064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 66341064 is about 8145.0023941065. The cubic root of 66341064 is about 404.8189283540.

The spelling of 66341064 in words is "sixty-six million, three hundred forty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 24 47 94 103 141 188 206 282 309 376 412 564 571 618 824 1128 1142 1236 1713 2284 2472 3426 4568 4841 6852 9682 13704 14523 19364 26837 29046 38728 53674 58092 58813 80511 107348 116184 117626 161022 176439 214696 235252 322044 352878 470504 644088 705756 1411512 2764211 5528422 8292633 11056844 16585266 22113688 33170532 66341064