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1034044031 = 6782918617
BaseRepresentation
bin111101101000100…
…100001001111111
32200001201212202002
4331220210021333
54104203402111
6250335052515
734424141426
oct7550441177
92601655662
101034044031
11490766649
1224a37113b
131362c9a97
149b4902bd
1560ba863b
hex3da2427f

1034044031 has 8 divisors (see below), whose sum is σ = 1050799920. Its totient is φ = 1017327168.

The previous prime is 1034044027. The next prime is 1034044043. The reversal of 1034044031 is 1304404301.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1034044031 - 22 = 1034044027 is a prime.

It is a super-2 number, since 2×10340440312 = 2138494116093457922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1034043994 and 1034044012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034044021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46235 + ... + 64851.

It is an arithmetic number, because the mean of its divisors is an integer number (131349990).

Almost surely, 21034044031 is an apocalyptic number.

1034044031 is a deficient number, since it is larger than the sum of its proper divisors (16755889).

1034044031 is an equidigital number, since it uses as much as digits as its factorization.

1034044031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19513.

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1034044031 is about 32156.5550238206. Note that the first 3 decimals coincide. The cubic root of 1034044031 is about 1011.2216146716.

Adding to 1034044031 its reverse (1304404301), we get a palindrome (2338448332).

The spelling of 1034044031 in words is "one billion, thirty-four million, forty-four thousand, thirty-one".

Divisors: 1 67 829 18617 55543 1247339 15433493 1034044031