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67338436 = 221123732
BaseRepresentation
bin1000000001110…
…00000011000100
311200201010222011
410000320003010
5114214312221
610403144004
71445236654
oct400700304
9150633864
1067338436
1135013400
121a675004
1310c49239
148d2c364
155da21e1
hex40380c4

67338436 has 27 divisors (see below), whose sum is σ = 129877293. Its totient is φ = 30526320.

The previous prime is 67338433. The next prime is 67338437. The reversal of 67338436 is 63483376.

The square root of 67338436 is 8206.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 36602500 + 30735936 = 6050^2 + 5544^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (67338433) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 180346 + ... + 180718.

Almost surely, 267338436 is an apocalyptic number.

67338436 is the 8206-th square number.

It is an amenable number.

67338436 is a deficient number, since it is larger than the sum of its proper divisors (62538857).

67338436 is a wasteful number, since it uses less digits than its factorization.

67338436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 386 counting only the distinct ones).

The product of its digits is 217728, while the sum is 40.

The cubic root of 67338436 is about 406.8375295031.

The spelling of 67338436 in words is "sixty-seven million, three hundred thirty-eight thousand, four hundred thirty-six".

Divisors: 1 2 4 11 22 44 121 242 373 484 746 1492 4103 8206 16412 45133 90266 139129 180532 278258 556516 1530419 3060838 6121676 16834609 33669218 67338436