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67243344 = 24372967103
BaseRepresentation
bin1000000001000…
…00110101010000
311200112022112020
410000200311100
5114203241334
610401131440
71444362510
oct400406520
9150468466
1067243344
1134a58a13
121a629b80
1310c14b7c
148d05840
155d83e49
hex4020d50

67243344 has 160 divisors (see below), whose sum is σ = 210462720. Its totient is φ = 18095616.

The previous prime is 67243339. The next prime is 67243349. The reversal of 67243344 is 44334276.

It is an interprime number because it is at equal distance from previous prime (67243339) and next prime (67243349).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67243349) 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 31 ways as a sum of consecutive naturals, for example, 652797 + ... + 652899.

It is an arithmetic number, because the mean of its divisors is an integer number (1315392).

Almost surely, 267243344 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 67243344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105231360).

67243344 is an abundant number, since it is smaller than the sum of its proper divisors (143219376).

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

67243344 is a wasteful number, since it uses less digits than its factorization.

67243344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 211 counting only the distinct ones).

The product of its digits is 48384, while the sum is 33.

The square root of 67243344 is about 8200.2038999040. The cubic root of 67243344 is about 406.6459340262.

The spelling of 67243344 in words is "sixty-seven million, two hundred forty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 67 84 87 103 112 116 134 168 174 201 203 206 232 268 309 336 348 402 406 412 464 469 536 609 618 696 721 804 812 824 938 1072 1218 1236 1392 1407 1442 1608 1624 1648 1876 1943 2163 2436 2472 2814 2884 2987 3216 3248 3752 3886 4326 4872 4944 5628 5768 5829 5974 6901 7504 7772 8652 8961 9744 11256 11536 11658 11948 13601 13802 15544 17304 17922 20703 20909 22512 23316 23896 27202 27604 31088 34608 35844 40803 41406 41818 46632 47792 48307 54404 55208 62727 71688 81606 82812 83636 93264 96614 108808 110416 125454 143376 144921 163212 165624 167272 193228 200129 217616 250908 289842 326424 331248 334544 386456 400258 501816 579684 600387 652848 772912 800516 1003632 1159368 1200774 1400903 1601032 2318736 2401548 2801806 3202064 4202709 4803096 5603612 8405418 9606192 11207224 16810836 22414448 33621672 67243344