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330522320 = 24541100769
BaseRepresentation
bin10011101100110…
…101111011010000
3212000221021101102
4103230311323100
51134103203240
652444123532
711122251632
oct2354657320
9760837342
10330522320
1115a631347
12928365a8
135362674b
1431c7aa52
151e03c815
hex13b35ed0

330522320 has 40 divisors (see below), whose sum is σ = 787215240. Its totient is φ = 128983040.

The previous prime is 330522317. The next prime is 330522331. The reversal of 330522320 is 23225033.

330522320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7529536 + 322992784 = 2744^2 + 17972^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 330522292 and 330522301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47105 + ... + 53664.

It is an arithmetic number, because the mean of its divisors is an integer number (19680381).

Almost surely, 2330522320 is an apocalyptic number.

It is an amenable number.

330522320 is an abundant number, since it is smaller than the sum of its proper divisors (456692920).

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

330522320 is a wasteful number, since it uses less digits than its factorization.

330522320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100823 (or 100817 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 20.

The square root of 330522320 is about 18180.2728252356. The cubic root of 330522320 is about 691.4067219508.

Adding to 330522320 its reverse (23225033), we get a palindrome (353747353).

The spelling of 330522320 in words is "three hundred thirty million, five hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 100769 201538 403076 503845 806152 1007690 1612304 2015380 4030760 4131529 8061520 8263058 16526116 20657645 33052232 41315290 66104464 82630580 165261160 330522320