Search a number
-
+
324020928 = 263721131101
BaseRepresentation
bin10011010100000…
…010101011000000
3211120200222011010
4103110002223000
51130422132203
652052520520
711013063300
oct2324025300
9746628133
10324020928
111569a07a0
1290620140
135218b47a
1431067600
151d6a6303
hex13502ac0

324020928 has 336 divisors, whose sum is σ = 1134148608. Its totient is φ = 80640000.

The previous prime is 324020923. The next prime is 324020929. The reversal of 324020928 is 829020423.

324020928 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 324020895 and 324020904.

It is not an unprimeable number, because it can be changed into a prime (324020923) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3208078 + ... + 3208178.

Almost surely, 2324020928 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 324020928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567074304).

324020928 is an abundant number, since it is smaller than the sum of its proper divisors (810127680).

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

324020928 is a wasteful number, since it uses less digits than its factorization.

324020928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 324020928 is about 18000.5813239462. The cubic root of 324020928 is about 686.8433332258.

The spelling of 324020928 in words is "three hundred twenty-four million, twenty thousand, nine hundred twenty-eight".