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305133340 = 225172293919
BaseRepresentation
bin10010001011111…
…111011100011100
3210021011101020211
4102023333130130
51111103231330
650140022204
710363406401
oct2213773434
9707141224
10305133340
11147270216
1286231964
134b2a7495
142c74c2a8
151bbc4d2a
hex122ff71c

305133340 has 48 divisors (see below), whose sum is σ = 681609600. Its totient is φ = 114342912.

The previous prime is 305133337. The next prime is 305133347. The reversal of 305133340 is 43331503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305133347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75901 + ... + 79819.

It is an arithmetic number, because the mean of its divisors is an integer number (14200200).

Almost surely, 2305133340 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 305133340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340804800).

305133340 is an abundant number, since it is smaller than the sum of its proper divisors (376476260).

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

305133340 is a wasteful number, since it uses less digits than its factorization.

305133340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4174 (or 4172 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 22.

The square root of 305133340 is about 17468.0662925236. The cubic root of 305133340 is about 673.2296287257.

Adding to 305133340 its reverse (43331503), we get a palindrome (348464843).

The spelling of 305133340 in words is "three hundred five million, one hundred thirty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 229 340 458 916 1145 2290 3893 3919 4580 7786 7838 15572 15676 19465 19595 38930 39190 66623 77860 78380 133246 266492 333115 666230 897451 1332460 1794902 3589804 4487255 8974510 15256667 17949020 30513334 61026668 76283335 152566670 305133340