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67346401 = 1737107069
BaseRepresentation
bin1000000001110…
…01111111100001
311200201112220011
410000321333201
5114220041101
610403244521
71445302123
oct400717741
9150645804
1067346401
1135019391
121a679741
1310c4ca55
148d31213
155da4751
hex4039fe1

67346401 has 8 divisors (see below), whose sum is σ = 73235880. Its totient is φ = 61671168.

The previous prime is 67346387. The next prime is 67346407. The reversal of 67346401 is 10464376.

It can be written as a sum of positive squares in 4 ways, for example, as 50339025 + 17007376 = 7095^2 + 4124^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 67346401 - 211 = 67344353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (67346407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52906 + ... + 54163.

It is an arithmetic number, because the mean of its divisors is an integer number (9154485).

Almost surely, 267346401 is an apocalyptic number.

It is an amenable number.

67346401 is a deficient number, since it is larger than the sum of its proper divisors (5889479).

67346401 is a wasteful number, since it uses less digits than its factorization.

67346401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107123.

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 67346401 is about 8206.4853012724. The cubic root of 67346401 is about 406.8535695408.

It can be divided in two parts, 673 and 46401, that added together give a palindrome (47074).

The spelling of 67346401 in words is "sixty-seven million, three hundred forty-six thousand, four hundred one".

Divisors: 1 17 37 629 107069 1820173 3961553 67346401