1034414772 has 24 divisors (see below), whose sum is σ = 2478868896. Its totient is φ = 335485728.

The previous prime is 1034414767. The next prime is 1034414791. The reversal of 1034414772 is 2774144301.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1164438 + ... + 1165325.

It is an arithmetic number, because the mean of its divisors is an integer number (103286204).

Almost surely, 2^1034414772 is an apocalyptic number.

1034414772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1034414772 is an abundant number, since it is smaller than the sum of its proper divisors (1444454124).

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

1034414772 is a wasteful number, since it uses less digits than its factorization.

1034414772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329807 (or 2329805 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 1034414772 is about 32162.3191327989. The cubic root of 1034414772 is about 1011.3424530193.

The spelling of 1034414772 in words is "one billion, thirty-four million, four hundred fourteen thousand, seven hundred seventy-two".