Search a number
-
+
323535664 = 24231914603
BaseRepresentation
bin10011010010001…
…100001100110000
3211112210022111101
4103102030030300
51130311120124
652034254144
711006002444
oct2322141460
9745708441
10323535664
1115669a151
1290427354
135204b62a
1430d7c824
151d60c644
hex1348c330

323535664 has 40 divisors (see below), whose sum is σ = 657672192. Its totient is φ = 153890880.

The previous prime is 323535649. The next prime is 323535671. The reversal of 323535664 is 466535323.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

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 7 ways as a sum of consecutive naturals, for example, 67987 + ... + 72589.

Almost surely, 2323535664 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 323535664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328836096).

323535664 is an abundant number, since it is smaller than the sum of its proper divisors (334136528).

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

323535664 is a wasteful number, since it uses less digits than its factorization.

323535664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4825 (or 4819 counting only the distinct ones).

The product of its digits is 194400, while the sum is 37.

The square root of 323535664 is about 17987.0971532374. The cubic root of 323535664 is about 686.5002824739.

The spelling of 323535664 in words is "three hundred twenty-three million, five hundred thirty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 23 46 92 184 191 368 382 764 1528 3056 4393 4603 8786 9206 17572 18412 35144 36824 70288 73648 105869 211738 423476 846952 879173 1693904 1758346 3516692 7033384 14066768 20220979 40441958 80883916 161767832 323535664