Search a number
-
+
73074340 = 2256189673
BaseRepresentation
bin1000101101100…
…00011010100100
312002111120011001
410112300122210
5122201334330
611130123044
71545056503
oct426603244
9162446131
1073074340
1138280919
1220580484
13121a6c71
1499c283a
1566369ca
hex45b06a4

73074340 has 48 divisors (see below), whose sum is σ = 157958640. Its totient is φ = 28385280.

The previous prime is 73074319. The next prime is 73074349. The reversal of 73074340 is 4347037.

73074340 = T336 + T337 + ... + T780.

It can be written as a sum of positive squares in 8 ways, for example, as 25160256 + 47914084 = 5016^2 + 6922^2 .

It is a junction number, because it is equal to n+sod(n) for n = 73074299 and 73074308.

It is not an unprimeable number, because it can be changed into a prime (73074349) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 108244 + ... + 108916.

It is an arithmetic number, because the mean of its divisors is an integer number (3290805).

Almost surely, 273074340 is an apocalyptic number.

It is an amenable number.

73074340 is an abundant number, since it is smaller than the sum of its proper divisors (84884300).

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

73074340 is a wasteful number, since it uses less digits than its factorization.

73074340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 28.

The square root of 73074340 is about 8548.3530577533. The cubic root of 73074340 is about 418.0757400356.

The spelling of 73074340 in words is "seventy-three million, seventy-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 61 89 122 178 244 305 356 445 610 673 890 1220 1346 1780 2692 3365 5429 6730 10858 13460 21716 27145 41053 54290 59897 82106 108580 119794 164212 205265 239588 299485 410530 598970 821060 1197940 3653717 7307434 14614868 18268585 36537170 73074340