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328489640 = 235173115583
BaseRepresentation
bin10011100101000…
…101101010101000
3211220010000001222
4103211011222220
51133043132030
652332401212
711066054513
oct2345055250
9756100058
10328489640
11159473146
1292016208
135309448b
14318abd7a
151dc8a3e5
hex13945aa8

328489640 has 64 divisors (see below), whose sum is σ = 807874560. Its totient is φ = 119669760.

The previous prime is 328489633. The next prime is 328489643. The reversal of 328489640 is 46984823.

It is a junction number, because it is equal to n+sod(n) for n = 328489591 and 328489600.

It is not an unprimeable number, because it can be changed into a prime (328489643) by changing a digit.

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, 13289 + ... + 28871.

It is an arithmetic number, because the mean of its divisors is an integer number (12623040).

Almost surely, 2328489640 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 328489640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403937280).

328489640 is an abundant number, since it is smaller than the sum of its proper divisors (479384920).

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

328489640 is a wasteful number, since it uses less digits than its factorization.

328489640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15642 (or 15638 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 44.

The square root of 328489640 is about 18124.2831582383. The cubic root of 328489640 is about 689.9864451584.

The spelling of 328489640 in words is "three hundred twenty-eight million, four hundred eighty-nine thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 17 20 31 34 40 62 68 85 124 136 155 170 248 310 340 527 620 680 1054 1240 2108 2635 4216 5270 10540 15583 21080 31166 62332 77915 124664 155830 264911 311660 483073 529822 623320 966146 1059644 1324555 1932292 2119288 2415365 2649110 3864584 4830730 5298220 8212241 9661460 10596440 16424482 19322920 32848964 41061205 65697928 82122410 164244820 328489640