Search a number
-
+
305744840 = 2357643621
BaseRepresentation
bin10010001110010…
…100101111001000
3210022022110001222
4102032110233020
51111232313330
650201101212
710401534242
oct2216245710
9708273058
10305744840
11147648695
1286487808
134b45c90b
142c86b092
151bc960e5
hex12394bc8

305744840 has 16 divisors (see below), whose sum is σ = 687925980. Its totient is φ = 122297920.

The previous prime is 305744839. The next prime is 305744843. The reversal of 305744840 is 48447503.

It can be written as a sum of positive squares in 2 ways, for example, as 303665476 + 2079364 = 17426^2 + 1442^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 305744840.

It is not an unprimeable number, because it can be changed into a prime (305744843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3821771 + ... + 3821850.

Almost surely, 2305744840 is an apocalyptic number.

It is an amenable number.

305744840 is an abundant number, since it is smaller than the sum of its proper divisors (382181140).

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

305744840 is a wasteful number, since it uses less digits than its factorization.

305744840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7643632 (or 7643628 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 35.

The square root of 305744840 is about 17485.5609003543. The cubic root of 305744840 is about 673.6790554319.

The spelling of 305744840 in words is "three hundred five million, seven hundred forty-four thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 7643621 15287242 30574484 38218105 61148968 76436210 152872420 305744840