1034356830 has 128 divisors (see below), whose sum is σ = 2811207168. Its totient is φ = 241823232.

The previous prime is 1034356811. The next prime is 1034356849. The reversal of 1034356830 is 386534301.

It is an interprime number because it is at equal distance from previous prime (1034356811) and next prime (1034356849).

It is a junction number, because it is equal to n+sod(n) for n = 1034356791 and 1034356800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 619657 + ... + 621323.

It is an arithmetic number, because the mean of its divisors is an integer number (21962556).

Almost surely, 2^1034356830 is an apocalyptic number.

1034356830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1034356830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405603584).

1034356830 is an abundant number, since it is smaller than the sum of its proper divisors (1776850338).

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

1034356830 is a wasteful number, since it uses less digits than its factorization.

1034356830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1770.

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 1034356830 is about 32161.4183455892. The cubic root of 1034356830 is about 1011.3235694598.

The spelling of 1034356830 in words is "one billion, thirty-four million, three hundred fifty-six thousand, eight hundred thirty".