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67341040 = 2451373887
BaseRepresentation
bin1000000001110…
…00101011110000
311200201021112121
410000320223300
5114214403130
610403204024
71445250364
oct400705360
9150637477
1067341040
1135015358
121a676614
1310c4a490
148d2d2a4
155da2d7a
hex4038af0

67341040 has 80 divisors (see below), whose sum is σ = 171114048. Its totient is φ = 24496128.

The previous prime is 67341037. The next prime is 67341059. The reversal of 67341040 is 4014376.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 67340996 and 67341014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75477 + ... + 76363.

Almost surely, 267341040 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 67341040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85557024).

67341040 is an abundant number, since it is smaller than the sum of its proper divisors (103773008).

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

67341040 is a wasteful number, since it uses less digits than its factorization.

67341040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 67341040 is about 8206.1586628580. The cubic root of 67341040 is about 406.8427736169.

The spelling of 67341040 in words is "sixty-seven million, three hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 73 80 104 130 146 208 260 292 365 520 584 730 887 949 1040 1168 1460 1774 1898 2920 3548 3796 4435 4745 5840 7096 7592 8870 9490 11531 14192 15184 17740 18980 23062 35480 37960 46124 57655 64751 70960 75920 92248 115310 129502 184496 230620 259004 323755 461240 518008 647510 841763 922480 1036016 1295020 1683526 2590040 3367052 4208815 5180080 6734104 8417630 13468208 16835260 33670520 67341040