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67430208 = 2633111329
BaseRepresentation
bin1000000010011…
…10011101000000
311200212210212010
410001032131000
5114230231313
610405132520
71446101346
oct401163500
9150783763
1067430208
113507634a
121a6ba140
1310c7bc41
148d53996
155dbe4c3
hex404e740

67430208 has 56 divisors (see below), whose sum is σ = 184180480. Its totient is φ = 21749760.

The previous prime is 67430203. The next prime is 67430219. The reversal of 67430208 is 80203476.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67430201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 288 + ... + 11616.

Almost surely, 267430208 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 67430208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92090240).

67430208 is an abundant number, since it is smaller than the sum of its proper divisors (116750272).

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

67430208 is a wasteful number, since it uses less digits than its factorization.

67430208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11375 (or 11365 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 67430208 is about 8211.5898582430. The cubic root of 67430208 is about 407.0222647379.

The spelling of 67430208 in words is "sixty-seven million, four hundred thirty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 992 1488 1984 2976 5952 11329 22658 33987 45316 67974 90632 135948 181264 271896 351199 362528 543792 702398 725056 1053597 1087584 1404796 2107194 2175168 2809592 4214388 5619184 8428776 11238368 16857552 22476736 33715104 67430208