Search a number
-
+
328896612 = 223511191619
BaseRepresentation
bin10011100110101…
…001000001100100
3211220212200100000
4103212221001210
51133144142422
652345221300
711102401152
oct2346510144
9756780300
10328896612
11159720990
1292191830
13531a77a5
14319763d2
151dd1acac
hex139a9064

328896612 has 144 divisors (see below), whose sum is σ = 990662400. Its totient is φ = 94361760.

The previous prime is 328896611. The next prime is 328896643. The reversal of 328896612 is 216698823.

328896612 is a `hidden beast` number, since 3 + 28 + 8 + 9 + 6 + 612 = 666.

It is not an unprimeable number, because it can be changed into a prime (328896611) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 202339 + ... + 203957.

It is an arithmetic number, because the mean of its divisors is an integer number (6879600).

Almost surely, 2328896612 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 328896612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495331200).

328896612 is an abundant number, since it is smaller than the sum of its proper divisors (661765788).

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

328896612 is a wasteful number, since it uses less digits than its factorization.

328896612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668 (or 1654 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 328896612 is about 18135.5069408054. The cubic root of 328896612 is about 690.2712732972.

The spelling of 328896612 in words is "three hundred twenty-eight million, eight hundred ninety-six thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 27 33 36 38 44 54 57 66 76 81 99 108 114 132 162 171 198 209 228 243 297 324 342 396 418 486 513 594 627 684 836 891 972 1026 1188 1254 1539 1619 1782 1881 2052 2508 2673 3078 3238 3564 3762 4617 4857 5346 5643 6156 6476 7524 9234 9714 10692 11286 14571 16929 17809 18468 19428 22572 29142 30761 33858 35618 43713 50787 53427 58284 61522 67716 71236 87426 92283 101574 106854 123044 131139 160281 174852 184566 203148 213708 262278 276849 320562 338371 369132 393417 480843 524556 553698 641124 676742 786834 830547 961686 1015113 1107396 1353484 1442529 1573668 1661094 1923372 2030226 2491641 2885058 3045339 3322188 4060452 4327587 4983282 5770116 6090678 7474923 8655174 9136017 9966564 12181356 14949846 17310348 18272034 27408051 29899692 36544068 54816102 82224153 109632204 164448306 328896612