Search a number
-
+
305403442640 = 2458814333193
BaseRepresentation
bin1000111000110110111…
…01101011010111010000
31002012022002110100120022
410130123131223113100
520000431240131030
6352144515403012
731031116300412
oct4343335532720
91065262410508
10305403442640
1110858031077a
124b232bb3468
1322a51435a4a
1410ad2a229b2
157e26c58de5
hex471b76b5d0

305403442640 has 40 divisors (see below), whose sum is σ = 710869142088. Its totient is φ = 122022686720.

The previous prime is 305403442639. The next prime is 305403442693. The reversal of 305403442640 is 46244304503.

It can be written as a sum of positive squares in 4 ways, for example, as 7186970176 + 298216472464 = 84776^2 + 546092^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 305403442640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2096117 + ... + 2237076.

Almost surely, 2305403442640 is an apocalyptic number.

It is an amenable number.

305403442640 is an abundant number, since it is smaller than the sum of its proper divisors (405465699448).

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

305403442640 is a wasteful number, since it uses less digits than its factorization.

305403442640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4334087 (or 4334081 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 35.

The spelling of 305403442640 in words is "three hundred five billion, four hundred three million, four hundred forty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 881 1762 3524 4405 7048 8810 14096 17620 35240 70480 4333193 8666386 17332772 21665965 34665544 43331930 69331088 86663860 173327720 346655440 3817543033 7635086066 15270172132 19087715165 30540344264 38175430330 61080688528 76350860660 152701721320 305403442640