Search a number
-
+
328000824 = 23325977213
BaseRepresentation
bin10011100011001…
…110010100111000
3211212012011112200
4103203032110320
51132432011244
652314110200
711061650424
oct2343162470
9755164480
10328000824
11159169968
1291a1b360
1352c52b38
14317c1b84
151dbe0669
hex138ce538

328000824 has 48 divisors (see below), whose sum is σ = 903403800. Its totient is φ = 107479104.

The previous prime is 328000823. The next prime is 328000837. The reversal of 328000824 is 428000823.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328000823) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34359 + ... + 42854.

Almost surely, 2328000824 is an apocalyptic number.

It is an amenable number.

328000824 is an abundant number, since it is smaller than the sum of its proper divisors (575402976).

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

328000824 is a wasteful number, since it uses less digits than its factorization.

328000824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77284 (or 77277 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 328000824 is about 18110.7930251549. The cubic root of 328000824 is about 689.6440255824.

Subtracting 328000824 from its reverse (428000823), we obtain a palindrome (99999999).

The spelling of 328000824 in words is "three hundred twenty-eight million, eight hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 36 59 72 118 177 236 354 472 531 708 1062 1416 2124 4248 77213 154426 231639 308852 463278 617704 694917 926556 1389834 1853112 2779668 4555567 5559336 9111134 13666701 18222268 27333402 36444536 41000103 54666804 82000206 109333608 164000412 328000824