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324240000 = 273547193
BaseRepresentation
bin10011010100111…
…000001010000000
3211121010002122220
4103110320022000
51131001140000
652101331040
711014665060
oct2324701200
9747102586
10324240000
11157030347
1290706a80
13522370b6
14310c33a0
151d6eb1a0
hex13538280

324240000 has 320 divisors, whose sum is σ = 1236354240. Its totient is φ = 73728000.

The previous prime is 324239989. The next prime is 324240029. The reversal of 324240000 is 42423.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1679904 + ... + 1680096.

It is an arithmetic number, because the mean of its divisors is an integer number (3863607).

Almost surely, 2324240000 is an apocalyptic number.

324240000 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 324240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618177120).

324240000 is an abundant number, since it is smaller than the sum of its proper divisors (912114240).

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

324240000 is an equidigital number, since it uses as much as digits as its factorization.

324240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 324240000 is about 18006.6654325558. The cubic root of 324240000 is about 686.9980909710.

Adding to 324240000 its reverse (42423), we get a palindrome (324282423).

The spelling of 324240000 in words is "three hundred twenty-four million, two hundred forty thousand".