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67308066 = 2327217672
BaseRepresentation
bin1000000001100…
…00101000100010
311200122121022100
410000300220202
5114212324231
610402351230
71445052300
oct400605042
9150577270
1067308066
1134aa2601
121a65b516
1310c38477
148d21270
155d981e6
hex4030a22

67308066 has 108 divisors (see below), whose sum is σ = 182343798. Its totient is φ = 17829504.

The previous prime is 67308061. The next prime is 67308067. The reversal of 67308066 is 66080376.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 49491225 + 17816841 = 7035^2 + 4221^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 67308066.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67308061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1004565 + ... + 1004631.

Almost surely, 267308066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67308066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91171899).

67308066 is an abundant number, since it is smaller than the sum of its proper divisors (115035732).

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

67308066 is a wasteful number, since it uses less digits than its factorization.

67308066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 67308066 is about 8204.1493160473. The cubic root of 67308066 is about 406.7763583282.

The spelling of 67308066 in words is "sixty-seven million, three hundred eight thousand, sixty-six".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 49 51 63 67 98 102 119 126 134 147 153 201 238 294 306 357 402 441 469 603 714 833 882 938 1071 1139 1206 1407 1666 2142 2278 2499 2814 3283 3417 4221 4489 4998 6566 6834 7497 7973 8442 8978 9849 10251 13467 14994 15946 19698 20502 23919 26934 29547 31423 40401 47838 55811 59094 62846 71757 76313 80802 94269 111622 143514 152626 167433 188538 219961 228939 282807 334866 439922 457878 502299 534191 565614 659883 686817 1004598 1068382 1319766 1373634 1602573 1979649 3205146 3739337 3959298 4807719 7478674 9615438 11218011 22436022 33654033 67308066