1029346320 has 120 divisors (see below), whose sum is σ = 3297967488. Its totient is φ = 265578240.

The previous prime is 1029346319. The next prime is 1029346333. The reversal of 1029346320 is 236439201.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 228409 + ... + 232871.

Almost surely, 2^1029346320 is an apocalyptic number.

1029346320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1029346320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648983744).

1029346320 is an abundant number, since it is smaller than the sum of its proper divisors (2268621168).

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

1029346320 is a wasteful number, since it uses less digits than its factorization.

1029346320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4541 (or 4504 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 1029346320 is about 32083.4274976973. The cubic root of 1029346320 is about 1009.6879472530.

It can be divided in two parts, 10293 and 46320, that multiplied together give a triangular number (476771760 = T₃₀₈₇₉).

The spelling of 1029346320 in words is "one billion, twenty-nine million, three hundred forty-six thousand, three hundred twenty".