Search a number
-
+
323703840 = 253523109269
BaseRepresentation
bin10011010010110…
…101010000100000
3211120002212012010
4103102311100200
51130332010330
652042032520
711010302655
oct2322652040
9746085163
10323703840
111567a4539
12904a8740
13520aa045
1430dc3c2c
151d6423b0
hex134b5420

323703840 has 192 divisors, whose sum is σ = 1077753600. Its totient is φ = 81506304.

The previous prime is 323703803. The next prime is 323703859. The reversal of 323703840 is 48307323.

323703840 is digitally balanced in base 3, 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 323703798 and 323703807.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1203226 + ... + 1203494.

It is an arithmetic number, because the mean of its divisors is an integer number (5613300).

Almost surely, 2323703840 is an apocalyptic number.

323703840 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 323703840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538876800).

323703840 is an abundant number, since it is smaller than the sum of its proper divisors (754049760).

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

323703840 is a wasteful number, since it uses less digits than its factorization.

323703840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 323703840 is about 17991.7714525280. The cubic root of 323703840 is about 686.6192110144.

The spelling of 323703840 in words is "three hundred twenty-three million, seven hundred three thousand, eight hundred forty".