Search a number
-
+
328952568 = 233729251269
BaseRepresentation
bin10011100110110…
…110101011111000
3211220222112002110
4103212312223320
51133202440233
652350332320
711103023250
oct2346665370
9756875073
10328952568
11159759a2a
12921ba0a0
13531c70b9
143198c960
151dd2c663
hex139b6af8

328952568 has 128 divisors (see below), whose sum is σ = 979776000. Its totient is φ = 90048000.

The previous prime is 328952557. The next prime is 328952573. The reversal of 328952568 is 865259823.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1222738 + ... + 1223006.

It is an arithmetic number, because the mean of its divisors is an integer number (7654500).

Almost surely, 2328952568 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 328952568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489888000).

328952568 is an abundant number, since it is smaller than the sum of its proper divisors (650823432).

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

328952568 is a wasteful number, since it uses less digits than its factorization.

328952568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 561 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 48.

The square root of 328952568 is about 18137.0495946833. The cubic root of 328952568 is about 690.3104169346.

The spelling of 328952568 in words is "three hundred twenty-eight million, nine hundred fifty-two thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 174 203 232 251 269 348 406 502 538 609 696 753 807 812 1004 1076 1218 1506 1614 1624 1757 1883 2008 2152 2436 3012 3228 3514 3766 4872 5271 5649 6024 6456 7028 7279 7532 7801 10542 11298 14056 14558 15064 15602 21084 21837 22596 23403 29116 31204 42168 43674 45192 46806 50953 54607 58232 62408 67519 87348 93612 101906 109214 135038 152859 163821 174696 187224 202557 203812 218428 270076 305718 327642 405114 407624 436856 472633 540152 611436 655284 810228 945266 1222872 1310568 1417899 1620456 1890532 1958051 2835798 3781064 3916102 5671596 5874153 7832204 11343192 11748306 13706357 15664408 23496612 27412714 41119071 46993224 54825428 82238142 109650856 164476284 328952568