1034284416 has 64 divisors (see below), whose sum is σ = 2997086400. Its totient is φ = 313418240.

The previous prime is 1034284411. The next prime is 1034284457. The reversal of 1034284416 is 6144824301.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1034284416² = 2139488506360922112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034284411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118206 + ... + 126653.

It is an arithmetic number, because the mean of its divisors is an integer number (46829475).

Almost surely, 2^1034284416 is an apocalyptic number.

1034284416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1034284416 is an abundant number, since it is smaller than the sum of its proper divisors (1962801984).

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

1034284416 is a wasteful number, since it uses less digits than its factorization.

1034284416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244887 (or 244875 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 1034284416 is about 32160.2925359829. The cubic root of 1034284416 is about 1011.2999684188.

The spelling of 1034284416 in words is "one billion, thirty-four million, two hundred eighty-four thousand, four hundred sixteen".