Search a number
-
+
328359045 = 3573193359
BaseRepresentation
bin10011100100100…
…101110010000101
3211212212100221010
4103210211302011
51133024442140
652325512433
711065002000
oct2344456205
9755770833
10328359045
11159394013
1291b72719
1353049bc1
1431876537
151dc61880
hex13925c85

328359045 has 64 divisors (see below), whose sum is σ = 645120000. Its totient is φ = 142164288.

The previous prime is 328359019. The next prime is 328359067. The reversal of 328359045 is 540953823.

It is not a de Polignac number, because 328359045 - 210 = 328358021 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 328358994 and 328359012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96076 + ... + 99434.

It is an arithmetic number, because the mean of its divisors is an integer number (10080000).

Almost surely, 2328359045 is an apocalyptic number.

328359045 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

328359045 is a deficient number, since it is larger than the sum of its proper divisors (316760955).

328359045 is a wasteful number, since it uses less digits than its factorization.

328359045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3407 (or 3393 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 328359045 is about 18120.6800369081. The cubic root of 328359045 is about 689.8949955734.

The spelling of 328359045 in words is "three hundred twenty-eight million, three hundred fifty-nine thousand, forty-five".

Divisors: 1 3 5 7 15 19 21 35 49 57 95 105 133 147 245 285 343 399 665 735 931 1029 1715 1995 2793 3359 4655 5145 6517 10077 13965 16795 19551 23513 32585 50385 63821 70539 97755 117565 164591 191463 319105 352695 446747 493773 822955 957315 1152137 1340241 2233735 2468865 3127229 3456411 5760685 6701205 9381687 15636145 17282055 21890603 46908435 65671809 109453015 328359045