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67305812 = 2272379281
BaseRepresentation
bin1000000001100…
…00000101010100
311200122111012212
410000300011110
5114212241222
610402332552
71445042600
oct400600524
9150574185
1067305812
1134aa0942
121a65a158
1310c37432
148d20500
155d976e2
hex4030154

67305812 has 36 divisors (see below), whose sum is σ = 140733684. Its totient is φ = 28062720.

The previous prime is 67305787. The next prime is 67305827. The reversal of 67305812 is 21850376.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 60155536 + 7150276 = 7756^2 + 2674^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2612 + ... + 11892.

It is an arithmetic number, because the mean of its divisors is an integer number (3909269).

Almost surely, 267305812 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 67305812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70366842).

67305812 is an abundant number, since it is smaller than the sum of its proper divisors (73427872).

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

67305812 is a wasteful number, since it uses less digits than its factorization.

67305812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9336 (or 9327 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 67305812 is about 8204.0119453838. The cubic root of 67305812 is about 406.7718175939.

The spelling of 67305812 in words is "sixty-seven million, three hundred five thousand, eight hundred twelve".

Divisors: 1 2 4 7 14 28 37 49 74 98 148 196 259 518 1036 1813 3626 7252 9281 18562 37124 64967 129934 259868 343397 454769 686794 909538 1373588 1819076 2403779 4807558 9615116 16826453 33652906 67305812