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67430340 = 22335193647
BaseRepresentation
bin1000000010011…
…10011111000100
311200212211001000
410001032133010
5114230232330
610405133300
71446101625
oct401163704
9150784030
1067430340
113507645a
121a6ba230
1310c7c013
148d53a4c
155dbe560
hex404e7c4

67430340 has 96 divisors (see below), whose sum is σ = 211196160. Its totient is φ = 17860608.

The previous prime is 67430339. The next prime is 67430351. The reversal of 67430340 is 4303476.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103897 + ... + 104543.

It is an arithmetic number, because the mean of its divisors is an integer number (2199960).

Almost surely, 267430340 is an apocalyptic number.

67430340 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67430340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105598080).

67430340 is an abundant number, since it is smaller than the sum of its proper divisors (143765820).

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

67430340 is a wasteful number, since it uses less digits than its factorization.

67430340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 67430340 is about 8211.5978956595. The cubic root of 67430340 is about 407.0225303306.

The spelling of 67430340 in words is "sixty-seven million, four hundred thirty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 193 270 386 540 579 647 772 965 1158 1294 1737 1930 1941 2316 2588 2895 3235 3474 3860 3882 5211 5790 5823 6470 6948 7764 8685 9705 10422 11580 11646 12940 17370 17469 19410 20844 23292 26055 29115 34740 34938 38820 52110 58230 69876 87345 104220 116460 124871 174690 249742 349380 374613 499484 624355 749226 1123839 1248710 1498452 1873065 2247678 2497420 3371517 3746130 4495356 5619195 6743034 7492260 11238390 13486068 16857585 22476780 33715170 67430340