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904230432 = 25337307487
BaseRepresentation
bin110101111001010…
…111011000100000
32100000110122222000
4311321113120200
53322440333212
6225420444000
731256555220
oct6571273040
92300418860
10904230432
11424461786
122129a9600
131154480c1
148813c080
15545b51dc
hex35e57620

904230432 has 192 divisors, whose sum is σ = 3030128640. Its totient is φ = 256981248.

The previous prime is 904230421. The next prime is 904230433. The reversal of 904230432 is 234032409.

It is a happy number.

904230432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 904230396 and 904230405.

It is not an unprimeable number, because it can be changed into a prime (904230433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1856493 + ... + 1856979.

It is an arithmetic number, because the mean of its divisors is an integer number (15781920).

Almost surely, 2904230432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 904230432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515064320).

904230432 is an abundant number, since it is smaller than the sum of its proper divisors (2125898208).

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

904230432 is a wasteful number, since it uses less digits than its factorization.

904230432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 904230432 is about 30070.4245397367. The cubic root of 904230432 is about 966.9997750659. Note that the first 3 decimals are identical.

The spelling of 904230432 in words is "nine hundred four million, two hundred thirty thousand, four hundred thirty-two".