Search a number
-
+
67340820 = 22357091583
BaseRepresentation
bin1000000001110…
…00101000010100
311200201021020110
410000320220110
5114214401240
610403203020
71445246631
oct400705024
9150637213
1067340820
1135015178
121a676470
1310c4a351
148d2d188
155da2c80
hex4038a14

67340820 has 48 divisors (see below), whose sum is σ = 188939520. Its totient is φ = 17920896.

The previous prime is 67340797. The next prime is 67340827. The reversal of 67340820 is 2804376.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67340827) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41749 + ... + 43331.

It is an arithmetic number, because the mean of its divisors is an integer number (3936240).

Almost surely, 267340820 is an apocalyptic number.

67340820 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

67340820 is an abundant number, since it is smaller than the sum of its proper divisors (121598700).

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

67340820 is a wasteful number, since it uses less digits than its factorization.

67340820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2304 (or 2302 counting only the distinct ones).

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

The square root of 67340820 is about 8206.1452582805. The cubic root of 67340820 is about 406.8423305710.

The spelling of 67340820 in words is "sixty-seven million, three hundred forty thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 709 1418 1583 2127 2836 3166 3545 4254 4749 6332 7090 7915 8508 9498 10635 14180 15830 18996 21270 23745 31660 42540 47490 94980 1122347 2244694 3367041 4489388 5611735 6734082 11223470 13468164 16835205 22446940 33670410 67340820