Search a number
-
+
324384480 = 25335717631
BaseRepresentation
bin10011010101011…
…011011011100000
3211121101102212000
4103111123123200
51131020300410
652104404000
711016136230
oct2325333340
9747342760
10324384480
11157119952
1290776600
1352287aa4
143111dcc0
151d728dc0
hex1355b6e0

324384480 has 384 divisors, whose sum is σ = 1376040960. Its totient is φ = 69672960.

The previous prime is 324384469. The next prime is 324384481. The reversal of 324384480 is 84483423.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (324384481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 513765 + ... + 514395.

It is an arithmetic number, because the mean of its divisors is an integer number (3583440).

Almost surely, 2324384480 is an apocalyptic number.

324384480 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 324384480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688020480).

324384480 is an abundant number, since it is smaller than the sum of its proper divisors (1051656480).

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

324384480 is a wasteful number, since it uses less digits than its factorization.

324384480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 324384480 is about 18010.6768334785. The cubic root of 324384480 is about 687.1001169856.

The spelling of 324384480 in words is "three hundred twenty-four million, three hundred eighty-four thousand, four hundred eighty".