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67674216 = 2335383641
BaseRepresentation
bin1000000100010…
…10000001101000
311201100012120110
410002022001220
5114311033331
610414254320
71451135631
oct402120150
9151305513
1067674216
1135222705
121a7b73a0
131103601c
148db8888
155e1b946
hex408a068

67674216 has 64 divisors (see below), whose sum is σ = 174726720. Its totient is φ = 21831680.

The previous prime is 67674203. The next prime is 67674247. The reversal of 67674216 is 61247676.

It is a super-2 number, since 2×676742162 = 9159599022429312, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 105256 + ... + 105896.

It is an arithmetic number, because the mean of its divisors is an integer number (2730105).

Almost surely, 267674216 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 67674216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87363360).

67674216 is an abundant number, since it is smaller than the sum of its proper divisors (107052504).

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

67674216 is a wasteful number, since it uses less digits than its factorization.

67674216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 782 counting only the distinct ones).

The product of its digits is 84672, while the sum is 39.

The square root of 67674216 is about 8226.4339783408. The cubic root of 67674216 is about 407.5126341322.

The spelling of 67674216 in words is "sixty-seven million, six hundred seventy-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 53 83 106 159 166 212 249 318 332 424 498 636 641 664 996 1272 1282 1923 1992 2564 3846 4399 5128 7692 8798 13197 15384 17596 26394 33973 35192 52788 53203 67946 101919 105576 106406 135892 159609 203838 212812 271784 319218 407676 425624 638436 815352 1276872 2819759 5639518 8459277 11279036 16918554 22558072 33837108 67674216