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325393120 = 25513732143
BaseRepresentation
bin10011011001010…
…001101011100000
3211200021200110001
4103121101223200
51131300034440
652142145344
711030536663
oct2331215340
9750250401
10325393120
11157748738
1290b82254
135254bc10
14313036da
151d877b9a
hex13651ae0

325393120 has 96 divisors (see below), whose sum is σ = 839607552. Its totient is φ = 118444032.

The previous prime is 325393111. The next prime is 325393147. The reversal of 325393120 is 21393523.

It is a congruent number.

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, 150769 + ... + 152911.

It is an arithmetic number, because the mean of its divisors is an integer number (8745912).

Almost surely, 2325393120 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 325393120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419803776).

325393120 is an abundant number, since it is smaller than the sum of its proper divisors (514214432).

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

325393120 is a wasteful number, since it uses less digits than its factorization.

325393120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2244 (or 2236 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 28.

The square root of 325393120 is about 18038.6562692458. The cubic root of 325393120 is about 687.8115357231.

The spelling of 325393120 in words is "three hundred twenty-five million, three hundred ninety-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 73 80 104 130 146 160 208 260 292 365 416 520 584 730 949 1040 1168 1460 1898 2080 2143 2336 2920 3796 4286 4745 5840 7592 8572 9490 10715 11680 15184 17144 18980 21430 27859 30368 34288 37960 42860 55718 68576 75920 85720 111436 139295 151840 156439 171440 222872 278590 312878 342880 445744 557180 625756 782195 891488 1114360 1251512 1564390 2033707 2228720 2503024 3128780 4067414 4457440 5006048 6257560 8134828 10168535 12515120 16269656 20337070 25030240 32539312 40674140 65078624 81348280 162696560 325393120