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323867648 = 2101324329
BaseRepresentation
bin10011010011011…
…101010000000000
3211120102011220002
4103103131100000
51130402231043
652045335132
711011554356
oct2323352000
9746364802
10323867648
111568a6615
12905674a8
1352136780
14310277d6
151d675bb8
hex134dd400

323867648 has 44 divisors (see below), whose sum is σ = 697249140. Its totient is φ = 149471232.

The previous prime is 323867641. The next prime is 323867659. The reversal of 323867648 is 846768323.

323867648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 152571904 + 171295744 = 12352^2 + 13088^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323867641) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1148 + ... + 25476.

Almost surely, 2323867648 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 323867648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348624570).

323867648 is an abundant number, since it is smaller than the sum of its proper divisors (373381492).

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

323867648 is a wasteful number, since it uses less digits than its factorization.

323867648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24362 (or 24344 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 47.

The square root of 323867648 is about 17996.3231800276. The cubic root of 323867648 is about 686.7350110544.

The spelling of 323867648 in words is "three hundred twenty-three million, eight hundred sixty-seven thousand, six hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1664 3328 6656 13312 24329 48658 97316 194632 316277 389264 632554 778528 1265108 1557056 2530216 3114112 5060432 6228224 10120864 12456448 20241728 24912896 40483456 80966912 161933824 323867648