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2040430032 = 243217833509
BaseRepresentation
bin111100110011110…
…0111110111010000
312021012102120210200
41321213213313100
513134322230112
6534245255200
7101364240414
oct17147476720
95235376720
102040430032
11957851313
1248b404500
13266961864
14154dc0d44
15be1ebcdc
hex799e7dd0

2040430032 has 60 divisors (see below), whose sum is σ = 6046281540. Its totient is φ = 640134144.

The previous prime is 2040430031. The next prime is 2040430033. The reversal of 2040430032 is 2300340402.

2040430032 is a `hidden beast` number, since 204 + 0 + 430 + 0 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (2040430031) and next prime (2040430033).

It can be written as a sum of positive squares in 2 ways, for example, as 1682312256 + 358117776 = 41016^2 + 18924^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2040429987 and 2040430014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2040430031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 414307 + ... + 419202.

It is an arithmetic number, because the mean of its divisors is an integer number (100771359).

Almost surely, 22040430032 is an apocalyptic number.

It is an amenable number.

2040430032 is an abundant number, since it is smaller than the sum of its proper divisors (4005851508).

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

2040430032 is a wasteful number, since it uses less digits than its factorization.

2040430032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833540 (or 833531 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2040430032 is about 45171.1194459469. The cubic root of 2040430032 is about 1268.3542515797.

Adding to 2040430032 its reverse (2300340402), we get a palindrome (4340770434).

The spelling of 2040430032 in words is "two billion, forty million, four hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 833509 1667018 2500527 3334036 5001054 6668072 7501581 10002108 13336144 14169653 15003162 20004216 28339306 30006324 40008432 42508959 56678612 60012648 85017918 113357224 120025296 127526877 170035836 226714448 255053754 340071672 510107508 680143344 1020215016 2040430032