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2040430212 = 2232449126233
BaseRepresentation
bin111100110011110…
…0111111010000100
312021012102121001100
41321213213322010
513134322231322
6534245300100
7101364241062
oct17147477204
95235377040
102040430212
11957851467
1248b404630
13266961972
14154dc1032
15be1ebdac
hex799e7e84

2040430212 has 36 divisors (see below), whose sum is σ = 5169282300. Its totient is φ = 678623232.

The previous prime is 2040430177. The next prime is 2040430213. The reversal of 2040430212 is 2120340402.

2040430212 is a `hidden beast` number, since 20 + 4 + 0 + 430 + 212 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1059111936 + 981318276 = 32544^2 + 31326^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2040430213) 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, 46953 + ... + 79280.

It is an arithmetic number, because the mean of its divisors is an integer number (143591175).

Almost surely, 22040430212 is an apocalyptic number.

It is an amenable number.

2040430212 is an abundant number, since it is smaller than the sum of its proper divisors (3128852088).

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

2040430212 is a wasteful number, since it uses less digits than its factorization.

2040430212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126692 (or 126687 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2040430212 is about 45171.1214383703. The cubic root of 2040430212 is about 1268.3542888764.

Adding to 2040430212 its reverse (2120340402), we get a palindrome (4160770614).

The spelling of 2040430212 in words is "two billion, forty million, four hundred thirty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 449 898 1347 1796 2694 4041 5388 8082 16164 126233 252466 378699 504932 757398 1136097 1514796 2272194 4544388 56678617 113357234 170035851 226714468 340071702 510107553 680143404 1020215106 2040430212