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307327020 = 22357211131743
BaseRepresentation
bin10010010100010…
…111000000101100
3210102021211102020
4102110113000230
51112133431040
650255030140
710421144100
oct2224270054
9712254366
10307327020
11148529380
1286b0b350
134b894b10
142cb5d900
151bea9cd0
hex1251702c

307327020 has 576 divisors, whose sum is σ = 1274144256. Its totient is φ = 54190080.

The previous prime is 307327001. The next prime is 307327049. The reversal of 307327020 is 20723703.

307327020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 191 ways as a sum of consecutive naturals, for example, 7147119 + ... + 7147161.

It is an arithmetic number, because the mean of its divisors is an integer number (2212056).

Almost surely, 2307327020 is an apocalyptic number.

307327020 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 307327020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637072128).

307327020 is an abundant number, since it is smaller than the sum of its proper divisors (966817236).

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

307327020 is a wasteful number, since it uses less digits than its factorization.

307327020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 24.

The square root of 307327020 is about 17530.7449927264. The cubic root of 307327020 is about 674.8391166641.

The spelling of 307327020 in words is "three hundred seven million, three hundred twenty-seven thousand, twenty".