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67388664 = 2337894507
BaseRepresentation
bin1000000010001…
…00010011111000
311200210200212110
410001010103320
5114222414124
610404212320
71445536260
oct401042370
9150720773
1067388664
1135048112
121a69a0a0
1310c66065
148d427a0
155db2029
hex40444f8

67388664 has 64 divisors (see below), whose sum is σ = 194745600. Its totient is φ = 19033344.

The previous prime is 67388641. The next prime is 67388669. The reversal of 67388664 is 46688376.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1161216) is a multiple of the sum of its prime divisors (4608).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67388669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12699 + ... + 17205.

It is an arithmetic number, because the mean of its divisors is an integer number (3042900).

Almost surely, 267388664 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 67388664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97372800).

67388664 is an abundant number, since it is smaller than the sum of its proper divisors (127356936).

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

67388664 is a wasteful number, since it uses less digits than its factorization.

67388664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4612 (or 4608 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The square root of 67388664 is about 8209.0598730914. The cubic root of 67388664 is about 406.9386582590.

The spelling of 67388664 in words is "sixty-seven million, three hundred eighty-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 89 168 178 267 356 534 623 712 1068 1246 1869 2136 2492 3738 4507 4984 7476 9014 13521 14952 18028 27042 31549 36056 54084 63098 94647 108168 126196 189294 252392 378588 401123 757176 802246 1203369 1604492 2406738 2807861 3208984 4813476 5615722 8423583 9626952 11231444 16847166 22462888 33694332 67388664