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328484874496 = 2811323172
BaseRepresentation
bin1001100011110110011…
…10010110100100000000
31011101212200020120122211
410301323032112210000
520340214111440441
6410523122511504
732506106235562
oct4617316264400
91141780216584
10328484874496
1111734516a099
12537b4b05594
1324c8c336c2c
1411c8226b332
1588282a1a81
hex4c7b396900

328484874496 has 81 divisors (see below), whose sum is σ = 663633952891. Its totient is φ = 162275434496.

The previous prime is 328484874437. The next prime is 328484874503. The reversal of 328484874496 is 694478484823.

The square root of 328484874496 is 573136.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 285087652096 + 43397222400 = 533936^2 + 208320^2 .

It is a Duffinian number.

Its product of digits (297271296) is a multiple of the sum of its prime divisors (432).

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 8 ways as a sum of consecutive naturals, for example, 1036229730 + ... + 1036230046.

Almost surely, 2328484874496 is an apocalyptic number.

328484874496 is the 573136-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328484874496

328484874496 is an abundant number, since it is smaller than the sum of its proper divisors (335149078395).

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

328484874496 is an frugal number, since it uses more digits than its factorization.

328484874496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 432 counting only the distinct ones).

The product of its digits is 297271296, while the sum is 67.

The spelling of 328484874496 in words is "three hundred twenty-eight billion, four hundred eighty-four million, eight hundred seventy-four thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 113 128 226 256 317 452 634 904 1268 1808 2536 3616 5072 7232 10144 12769 14464 20288 25538 28928 35821 40576 51076 71642 81152 100489 102152 143284 200978 204304 286568 401956 408608 573136 803912 817216 1146272 1607824 1634432 2292544 3215648 3268864 4047773 4585088 6431296 8095546 9170176 11355257 12862592 16191092 22710514 25725184 32382184 45421028 64764368 90842056 129528736 181684112 259057472 363368224 518114944 726736448 1036229888 1283144041 1453472896 2566288082 2906945792 5132576164 10265152328 20530304656 41060609312 82121218624 164242437248 328484874496