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328367648 = 25717531627
BaseRepresentation
bin10011100100100…
…111111000100000
3211212212210201202
4103210213320200
51133030231043
652330020332
711065036040
oct2344477040
9755783652
10328367648
1115939a524
1291b776a8
1353050aab
1431879720
151dc641b8
hex13927e20

328367648 has 96 divisors (see below), whose sum is σ = 797537664. Its totient is φ = 129871872.

The previous prime is 328367629. The next prime is 328367657. The reversal of 328367648 is 846763823.

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 15 ways as a sum of consecutive naturals, for example, 201011 + ... + 202637.

It is an arithmetic number, because the mean of its divisors is an integer number (8307684).

Almost surely, 2328367648 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 328367648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398768832).

328367648 is an abundant number, since it is smaller than the sum of its proper divisors (469170016).

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

328367648 is a wasteful number, since it uses less digits than its factorization.

328367648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714 (or 1706 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 47.

The square root of 328367648 is about 18120.9174160692. The cubic root of 328367648 is about 689.9010205989.

The spelling of 328367648 in words is "three hundred twenty-eight million, three hundred sixty-seven thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 53 56 68 106 112 119 136 212 224 238 272 371 424 476 544 742 848 901 952 1484 1627 1696 1802 1904 2968 3254 3604 3808 5936 6307 6508 7208 11389 11872 12614 13016 14416 22778 25228 26032 27659 28832 45556 50456 52064 55318 86231 91112 100912 110636 172462 182224 193613 201824 221272 344924 364448 387226 442544 603617 689848 774452 885088 1207234 1379696 1465927 1548904 2414468 2759392 2931854 3097808 4828936 5863708 6195616 9657872 10261489 11727416 19315744 20522978 23454832 41045956 46909664 82091912 164183824 328367648