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328033120 = 2553755411
BaseRepresentation
bin10011100011010…
…110001101100000
3211212020210211211
4103203112031200
51132434024440
652314515504
711062143532
oct2343261540
9755223754
10328033120
11159191158
1291a35b94
1352c6474c
14317cd852
151dbe9eea
hex138d6360

328033120 has 48 divisors (see below), whose sum is σ = 795937968. Its totient is φ = 127664640.

The previous prime is 328033109. The next prime is 328033129. The reversal of 328033120 is 21330823.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 328033091 and 328033100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328033129) 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 7 ways as a sum of consecutive naturals, for example, 21786 + ... + 33625.

It is an arithmetic number, because the mean of its divisors is an integer number (16582041).

Almost surely, 2328033120 is an apocalyptic number.

It is an amenable number.

328033120 is an abundant number, since it is smaller than the sum of its proper divisors (467904848).

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

328033120 is a wasteful number, since it uses less digits than its factorization.

328033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55463 (or 55455 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 328033120 is about 18111.6846262296. The cubic root of 328033120 is about 689.6666596845. Note that the first 4 decimals are identical.

Adding to 328033120 its reverse (21330823), we get a palindrome (349363943).

The spelling of 328033120 in words is "three hundred twenty-eight million, thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 1184 1480 2960 5920 55411 110822 221644 277055 443288 554110 886576 1108220 1773152 2050207 2216440 4100414 4432880 8200828 8865760 10251035 16401656 20502070 32803312 41004140 65606624 82008280 164016560 328033120