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328386912 = 2537618011
BaseRepresentation
bin10011100100101…
…100100101100000
3211212220210011020
4103210230211200
51133031340122
652330245440
711065146150
oct2344544540
9755823136
10328386912
11159402a47
1291b86880
13530597a9
1431882760
151dc69c5c
hex1392c960

328386912 has 96 divisors (see below), whose sum is σ = 1001435904. Its totient is φ = 92275200.

The previous prime is 328386907. The next prime is 328386931. The reversal of 328386912 is 219683823.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 36987 + ... + 44997.

It is an arithmetic number, because the mean of its divisors is an integer number (10431624).

Almost surely, 2328386912 is an apocalyptic number.

328386912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328386912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500717952).

328386912 is an abundant number, since it is smaller than the sum of its proper divisors (673048992).

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

328386912 is a wasteful number, since it uses less digits than its factorization.

328386912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8092 (or 8084 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 328386912 is about 18121.4489486906. The cubic root of 328386912 is about 689.9145115679.

The spelling of 328386912 in words is "three hundred twenty-eight million, three hundred eighty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 61 84 96 112 122 168 183 224 244 336 366 427 488 672 732 854 976 1281 1464 1708 1952 2562 2928 3416 5124 5856 6832 8011 10248 13664 16022 20496 24033 32044 40992 48066 56077 64088 96132 112154 128176 168231 192264 224308 256352 336462 384528 448616 488671 672924 769056 897232 977342 1345848 1466013 1794464 1954684 2691696 2932026 3420697 3909368 5383392 5864052 6841394 7818736 10262091 11728104 13682788 15637472 20524182 23456208 27365576 41048364 46912416 54731152 82096728 109462304 164193456 328386912