306269040 has 160 divisors (see below), whose sum is σ = 1183781376. Its totient is φ = 63636480.

The previous prime is 306269039. The next prime is 306269063. The reversal of 306269040 is 40962603.

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

It is a junction number, because it is equal to n+sod(n) for n = 306268989 and 306269007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10194 + ... + 26766.

Almost surely, 2^306269040 is an apocalyptic number.

306269040 is a gapful number since it is divisible by the number (30) 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 306269040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591890688).

306269040 is an abundant number, since it is smaller than the sum of its proper divisors (877512336).

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

306269040 is a wasteful number, since it uses less digits than its factorization.

306269040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16607 (or 16601 counting only the distinct ones).

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

The square root of 306269040 is about 17500.5439915449. The cubic root of 306269040 is about 674.0638435357.

The spelling of 306269040 in words is "three hundred six million, two hundred sixty-nine thousand, forty".