1034434401 has 64 divisors (see below), whose sum is σ = 1882546176. Its totient is φ = 487814400.

The previous prime is 1034434397. The next prime is 1034434439. The reversal of 1034434401 is 1044344301.

It is not a de Polignac number, because 1034434401 - 2² = 1034434397 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1034434201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 180360 + ... + 186006.

It is an arithmetic number, because the mean of its divisors is an integer number (29414784).

Almost surely, 2^1034434401 is an apocalyptic number.

1034434401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1034434401 is a deficient number, since it is larger than the sum of its proper divisors (848111775).

1034434401 is a wasteful number, since it uses less digits than its factorization.

1034434401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5742.

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

The square root of 1034434401 is about 32162.6242865846. The cubic root of 1034434401 is about 1011.3488500391.

Adding to 1034434401 its reverse (1044344301), we get a palindrome (2078778702).

The spelling of 1034434401 in words is "one billion, thirty-four million, four hundred thirty-four thousand, four hundred one".