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328420764 = 223371572767
BaseRepresentation
bin10011100100110…
…100110110011100
3211212222111121000
4103210310312130
51133033431024
652331110300
711065346640
oct2344646634
9755874530
10328420764
11159426421
1291ba2390
135306c019
1431890c20
151dc74cc9
hex13934d9c

328420764 has 96 divisors (see below), whose sum is σ = 979650560. Its totient is φ = 93203136.

The previous prime is 328420759. The next prime is 328420777. The reversal of 328420764 is 467024823.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117309 + ... + 120075.

Almost surely, 2328420764 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 328420764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489825280).

328420764 is an abundant number, since it is smaller than the sum of its proper divisors (651229796).

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

328420764 is a wasteful number, since it uses less digits than its factorization.

328420764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2944 (or 2936 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 328420764 is about 18122.3829558919. The cubic root of 328420764 is about 689.9382175306.

The spelling of 328420764 in words is "three hundred twenty-eight million, four hundred twenty thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 157 189 252 314 378 471 628 756 942 1099 1413 1884 2198 2767 2826 3297 4239 4396 5534 5652 6594 8301 8478 9891 11068 13188 16602 16956 19369 19782 24903 29673 33204 38738 39564 49806 58107 59346 74709 77476 99612 116214 118692 149418 174321 232428 298836 348642 434419 522963 697284 868838 1045926 1303257 1737676 2091852 2606514 3040933 3909771 5213028 6081866 7819542 9122799 11729313 12163732 15639084 18245598 23458626 27368397 36491196 46917252 54736794 82105191 109473588 164210382 328420764