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304140341140 = 22537601683861
BaseRepresentation
bin1000110110100000010…
…11010100111110010100
31002002001001201011001021
410123100023110332110
514440334411404030
6351415315010524
730654611146636
oct4332013247624
91062031634037
10304140341140
11107a92325939
124ab3bb99a44
13228ac8499cc
1410a12d88a56
157da0e0697a
hex46d02d4f94

304140341140 has 48 divisors (see below), whose sum is σ = 657049138704. Its totient is φ = 118171008000.

The previous prime is 304140341123. The next prime is 304140341143. The reversal of 304140341140 is 41143041403.

It can be written as a sum of positive squares in 8 ways, for example, as 72737011204 + 231403329936 = 269698^2 + 481044^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304140341143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102810 + ... + 786670.

It is an arithmetic number, because the mean of its divisors is an integer number (13688523723).

Almost surely, 2304140341140 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 304140341140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328524569352).

304140341140 is an abundant number, since it is smaller than the sum of its proper divisors (352908797564).

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

304140341140 is a wasteful number, since it uses less digits than its factorization.

304140341140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684508 (or 684506 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 304140341140 its reverse (41143041403), we get a palindrome (345283382543).

The spelling of 304140341140 in words is "three hundred four billion, one hundred forty million, three hundred forty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 601 740 1202 2404 3005 6010 12020 22237 44474 88948 111185 222370 444740 683861 1367722 2735444 3419305 6838610 13677220 25302857 50605714 101211428 126514285 253028570 411000461 506057140 822000922 1644001844 2055002305 4110004610 8220009220 15207017057 30414034114 60828068228 76035085285 152070170570 304140341140