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67348080 = 24325891051
BaseRepresentation
bin1000000001110…
…10011001110000
311200201122012100
410000322121300
5114220114310
610403300400
71445310042
oct400723160
9150648170
1067348080
113501a678
121a67a700
1310c50747
148d31a92
155da4ec0
hex403a670

67348080 has 120 divisors (see below), whose sum is σ = 228936240. Its totient is φ = 17740800.

The previous prime is 67348079. The next prime is 67348091. The reversal of 67348080 is 8084376.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63555 + ... + 64605.

It is an arithmetic number, because the mean of its divisors is an integer number (1907802).

Almost surely, 267348080 is an apocalyptic number.

67348080 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 67348080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114468120).

67348080 is an abundant number, since it is smaller than the sum of its proper divisors (161588160).

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

67348080 is a wasteful number, since it uses less digits than its factorization.

67348080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 67348080 is about 8206.5875977778. The cubic root of 67348080 is about 406.8569505751.

The spelling of 67348080 in words is "sixty-seven million, three hundred forty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 89 90 120 144 178 180 240 267 356 360 445 534 712 720 801 890 1051 1068 1335 1424 1602 1780 2102 2136 2670 3153 3204 3560 4005 4204 4272 5255 5340 6306 6408 7120 8010 8408 9459 10510 10680 12612 12816 15765 16020 16816 18918 21020 21360 25224 31530 32040 37836 42040 47295 50448 63060 64080 75672 84080 93539 94590 126120 151344 187078 189180 252240 280617 374156 378360 467695 561234 748312 756720 841851 935390 1122468 1403085 1496624 1683702 1870780 2244936 2806170 3367404 3741560 4209255 4489872 5612340 6734808 7483120 8418510 11224680 13469616 16837020 22449360 33674040 67348080