Search a number
-
+
2123414340 = 223535390239
BaseRepresentation
bin111111010010000…
…1011101101000100
312110222120121212120
41332210023231010
513322043224330
6550412045540
7103422503235
oct17644135504
95428517776
102123414340
1199a680693
124b31638b0
1327abc83b8
1416202308c
15c663ec10
hex7e90bb44

2123414340 has 24 divisors (see below), whose sum is σ = 5945560320. Its totient is φ = 566243808.

The previous prime is 2123414309. The next prime is 2123414353. The reversal of 2123414340 is 434143212.

2123414340 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2123414340.

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, 17695060 + ... + 17695179.

It is an arithmetic number, because the mean of its divisors is an integer number (247731680).

Almost surely, 22123414340 is an apocalyptic number.

2123414340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2123414340 is an abundant number, since it is smaller than the sum of its proper divisors (3822145980).

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

2123414340 is a wasteful number, since it uses less digits than its factorization.

2123414340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35390251 (or 35390249 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2123414340 is about 46080.5201793556. The cubic root of 2123414340 is about 1285.3209370618.

Adding to 2123414340 its reverse (434143212), we get a palindrome (2557557552).

The spelling of 2123414340 in words is "two billion, one hundred twenty-three million, four hundred fourteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 35390239 70780478 106170717 141560956 176951195 212341434 353902390 424682868 530853585 707804780 1061707170 2123414340