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67946994 = 23217233953
BaseRepresentation
bin1000000110011…
…00100111110010
311201212001202100
410003030213302
5114343300434
610424201230
71453353123
oct403144762
9151761670
1067946994
1135399645
121a909216
131110022b
14904a04a
155e72699
hex40cc9f2

67946994 has 48 divisors (see below), whose sum is σ = 156711672. Its totient is φ = 21202944.

The previous prime is 67946981. The next prime is 67946999. The reversal of 67946994 is 49964976.

It can be written as a sum of positive squares in 4 ways, for example, as 55308969 + 12638025 = 7437^2 + 3555^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 67946994.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67946999) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70822 + ... + 71774.

Almost surely, 267946994 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67946994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78355836).

67946994 is an abundant number, since it is smaller than the sum of its proper divisors (88764678).

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

67946994 is a wasteful number, since it uses less digits than its factorization.

67946994 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211 (or 1208 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The square root of 67946994 is about 8242.9966638353. The cubic root of 67946994 is about 408.0594276181.

The spelling of 67946994 in words is "sixty-seven million, nine hundred forty-six thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 233 306 466 699 953 1398 1906 2097 2859 3961 4194 5718 7922 8577 11883 16201 17154 23766 32402 35649 48603 71298 97206 145809 222049 291618 444098 666147 1332294 1998441 3774833 3996882 7549666 11324499 22648998 33973497 67946994