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67964274 = 23272251307
BaseRepresentation
bin1000000110100…
…00110101110010
311201212221110100
410003100311302
5114344324044
610424413230
71453454400
oct403206562
9151787410
1067964274
1135400624
121a917216
1311108061
149052470
155e77869
hex40d0d72

67964274 has 72 divisors (see below), whose sum is σ = 172540368. Its totient is φ = 19278000.

The previous prime is 67964269. The next prime is 67964279. The reversal of 67964274 is 47246976.

It is an interprime number because it is at equal distance from previous prime (67964269) and next prime (67964279).

It is not an unprimeable number, because it can be changed into a prime (67964279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 221229 + ... + 221535.

It is an arithmetic number, because the mean of its divisors is an integer number (2396394).

Almost surely, 267964274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67964274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86270184).

67964274 is an abundant number, since it is smaller than the sum of its proper divisors (104576094).

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

67964274 is a wasteful number, since it uses less digits than its factorization.

67964274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 570 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 67964274 is about 8244.0447597038. The cubic root of 67964274 is about 408.0940166844.

The spelling of 67964274 in words is "sixty-seven million, nine hundred sixty-four thousand, two hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 251 294 307 441 502 614 753 882 921 1506 1757 1842 2149 2259 2763 3514 4298 4518 5271 5526 6447 10542 12299 12894 15043 15813 19341 24598 30086 31626 36897 38682 45129 73794 77057 90258 110691 135387 154114 221382 231171 270774 462342 539399 693513 1078798 1387026 1618197 3236394 3775793 4854591 7551586 9709182 11327379 22654758 33982137 67964274