Search a number
-
+
328522572 = 223272275743
BaseRepresentation
bin10011100101001…
…101101101001100
3211220011200020200
4103211031231030
51133100210242
652333213500
711066252520
oct2345155514
9756150220
10328522572
11159495964
1292031290
13530a6471
14318b9d80
151dc9504c
hex1394db4c

328522572 has 72 divisors (see below), whose sum is σ = 953412096. Its totient is φ = 93433824.

The previous prime is 328522511. The next prime is 328522573. The reversal of 328522572 is 275225823.

It is a happy number.

328522572 is a `hidden beast` number, since 3 + 2 + 85 + 2 + 2 + 572 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (328522573) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54333 + ... + 60075.

Almost surely, 2328522572 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 328522572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476706048).

328522572 is an abundant number, since it is smaller than the sum of its proper divisors (624889524).

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

328522572 is a wasteful number, since it uses less digits than its factorization.

328522572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5987 (or 5982 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 328522572 is about 18125.1916403662. The cubic root of 328522572 is about 690.0095020746.

The spelling of 328522572 in words is "three hundred twenty-eight million, five hundred twenty-two thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 227 252 454 681 908 1362 1589 2043 2724 3178 4086 4767 5743 6356 8172 9534 11486 14301 17229 19068 22972 28602 34458 40201 51687 57204 68916 80402 103374 120603 160804 206748 241206 361809 482412 723618 1303661 1447236 2607322 3910983 5214644 7821966 9125627 11732949 15643932 18251254 23465898 27376881 36502508 46931796 54753762 82130643 109507524 164261286 328522572