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328796320 = 255171091109
BaseRepresentation
bin10011100110010…
…000100010100000
3211220200120202111
4103212100202200
51133132440240
652343125104
711101502566
oct2346204240
9756616674
10328796320
111596625a6
1292143794
1353170c48
143194ba36
151dceb1ea
hex139908a0

328796320 has 96 divisors (see below), whose sum is σ = 830768400. Its totient is φ = 122535936.

The previous prime is 328796317. The next prime is 328796333. The reversal of 328796320 is 23697823.

It can be written as a sum of positive squares in 8 ways, for example, as 115519504 + 213276816 = 10748^2 + 14604^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 295926 + ... + 297034.

Almost surely, 2328796320 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 328796320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415384200).

328796320 is an abundant number, since it is smaller than the sum of its proper divisors (501972080).

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

328796320 is a wasteful number, since it uses less digits than its factorization.

328796320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 328796320 is about 18132.7416570137. The cubic root of 328796320 is about 690.2011036026.

The spelling of 328796320 in words is "three hundred twenty-eight million, seven hundred ninety-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 109 136 160 170 218 272 340 436 544 545 680 872 1090 1109 1360 1744 1853 2180 2218 2720 3488 3706 4360 4436 5545 7412 8720 8872 9265 11090 14824 17440 17744 18530 18853 22180 29648 35488 37060 37706 44360 59296 74120 75412 88720 94265 120881 148240 150824 177440 188530 241762 296480 301648 377060 483524 603296 604405 754120 967048 1208810 1508240 1934096 2054977 2417620 3016480 3868192 4109954 4835240 8219908 9670480 10274885 16439816 19340960 20549770 32879632 41099540 65759264 82199080 164398160 328796320