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328921488 = 243271512161
BaseRepresentation
bin10011100110101…
…111000110010000
3211220220221110100
4103212233012100
51133200441423
652345532400
711102533530
oct2346570620
9756827410
10328921488
11159738645
12921a4100
13531b5bcc
14319814c0
151dd23343
hex139af190

328921488 has 120 divisors (see below), whose sum is σ = 1059483776. Its totient is φ = 93312000.

The previous prime is 328921469. The next prime is 328921547. The reversal of 328921488 is 884129823.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151128 + ... + 153288.

Almost surely, 2328921488 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 328921488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529741888).

328921488 is an abundant number, since it is smaller than the sum of its proper divisors (730562288).

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

328921488 is a wasteful number, since it uses less digits than its factorization.

328921488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2333 (or 2324 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 328921488 is about 18136.1927647453. The cubic root of 328921488 is about 690.2886756811.

The spelling of 328921488 in words is "three hundred twenty-eight million, nine hundred twenty-one thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 151 168 252 302 336 453 504 604 906 1008 1057 1208 1359 1812 2114 2161 2416 2718 3171 3624 4228 4322 5436 6342 6483 7248 8456 8644 9513 10872 12684 12966 15127 16912 17288 19026 19449 21744 25368 25932 30254 34576 38052 38898 45381 50736 51864 60508 76104 77796 90762 103728 121016 136143 152208 155592 181524 242032 272286 311184 326311 363048 544572 652622 726096 978933 1089144 1305244 1957866 2178288 2284177 2610488 2936799 3915732 4568354 5220976 5873598 6852531 7831464 9136708 11747196 13705062 15662928 18273416 20557593 23494392 27410124 36546832 41115186 46988784 54820248 82230372 109640496 164460744 328921488