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2306461940 = 2251937732
BaseRepresentation
bin1000100101111001…
…1101000011110100
312221202000101222022
42021132131003310
514210423240230
61020511252312
7111104413556
oct21136350364
95852011868
102306461940
11a83a34aa2
1254451a098
132a9ac84a3
1417c4714d6
15d774b1e5
hex8979d0f4

2306461940 has 36 divisors (see below), whose sum is σ = 4874972844. Its totient is φ = 916617216.

The previous prime is 2306461877. The next prime is 2306461943. The reversal of 2306461940 is 491646032.

2306461940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1041094756 + 1265367184 = 32266^2 + 35572^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2306461940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2306461943) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2983394 + ... + 2984166.

Almost surely, 22306461940 is an apocalyptic number.

2306461940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2306461940 is an abundant number, since it is smaller than the sum of its proper divisors (2568510904).

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

2306461940 is an equidigital number, since it uses as much as digits as its factorization.

2306461940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1748 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 2306461940 is about 48025.6383611920. The cubic root of 2306461940 is about 1321.2411688299.

The spelling of 2306461940 in words is "two billion, three hundred six million, four hundred sixty-one thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 193 386 772 773 965 1546 1930 3092 3860 3865 7730 15460 149189 298378 596756 597529 745945 1195058 1491890 2390116 2983780 2987645 5975290 11950580 115323097 230646194 461292388 576615485 1153230970 2306461940