Search a number
-
+
67345050 = 2352676701
BaseRepresentation
bin1000000001110…
…01101010011010
311200201111001010
410000321222122
5114220020200
610403234350
71445265153
oct400715232
9150644033
1067345050
1135018373
121a6789b6
1310c4c256
148d3092a
155da4150
hex4039a9a

67345050 has 48 divisors (see below), whose sum is σ = 169533792. Its totient is φ = 17688000.

The previous prime is 67345039. The next prime is 67345067. The reversal of 67345050 is 5054376.

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

It is a junction number, because it is equal to n+sod(n) for n = 67344999 and 67345017.

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 23 ways as a sum of consecutive naturals, for example, 6700 + ... + 13400.

It is an arithmetic number, because the mean of its divisors is an integer number (3531954).

Almost surely, 267345050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67345050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84766896).

67345050 is an abundant number, since it is smaller than the sum of its proper divisors (102188742).

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

67345050 is a wasteful number, since it uses less digits than its factorization.

67345050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6783 (or 6778 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 67345050 is about 8206.4029879113. The cubic root of 67345050 is about 406.8508489656.

The spelling of 67345050 in words is "sixty-seven million, three hundred forty-five thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 67 75 134 150 201 335 402 670 1005 1675 2010 3350 5025 6701 10050 13402 20103 33505 40206 67010 100515 167525 201030 335050 448967 502575 897934 1005150 1346901 2244835 2693802 4489670 6734505 11224175 13469010 22448350 33672525 67345050