1034829540 has 48 divisors (see below), whose sum is σ = 3219471360. Its totient is φ = 275954400.

The previous prime is 1034829511. The next prime is 1034829557. The reversal of 1034829540 is 459284301.

1034829540 is a `hidden beast` number, since 1 + 0 + 34 + 82 + 9 + 540 = 666.

It is a super-2 number, since 2×1034829540² = 2141744353713223200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1034829495 and 1034829504.

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 15 ways as a sum of consecutive naturals, for example, 957636 + ... + 958715.

It is an arithmetic number, because the mean of its divisors is an integer number (67072320).

Almost surely, 2^1034829540 is an apocalyptic number.

1034829540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1034829540 is an abundant number, since it is smaller than the sum of its proper divisors (2184641820).

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

1034829540 is a wasteful number, since it uses less digits than its factorization.

1034829540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1916369 (or 1916361 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1034829540 is about 32168.7665290418. The cubic root of 1034829540 is about 1011.4776071970.

The spelling of 1034829540 in words is "one billion, thirty-four million, eight hundred twenty-nine thousand, five hundred forty".