Search a number
-
+
324414300 = 223527229761
BaseRepresentation
bin10011010101100…
…010101101011100
3211121102221202110
4103111202231130
51131022224200
652105154020
711016322200
oct2325425534
9747387673
10324414300
1115713a2a1
129078b910
1352298532
143112ab00
151d732b50
hex13562b5c

324414300 has 216 divisors, whose sum is σ = 1131021360. Its totient is φ = 71500800.

The previous prime is 324414283. The next prime is 324414319. The reversal of 324414300 is 3414423.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 425920 + ... + 426680.

It is an arithmetic number, because the mean of its divisors is an integer number (5236210).

Almost surely, 2324414300 is an apocalyptic number.

324414300 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 324414300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565510680).

324414300 is an abundant number, since it is smaller than the sum of its proper divisors (806607060).

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

324414300 is a wasteful number, since it uses less digits than its factorization.

324414300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 324414300 is about 18011.5046567465. The cubic root of 324414300 is about 687.1211709087.

Adding to 324414300 its reverse (3414423), we get a palindrome (327828723).

The spelling of 324414300 in words is "three hundred twenty-four million, four hundred fourteen thousand, three hundred".