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328512240 = 24335721727
BaseRepresentation
bin10011100101001…
…011001011110000
3211220011011002000
4103211023023300
51133044342430
652333054000
711066210430
oct2345131360
9756134060
10328512240
11159489121
1292027300
13530a1854
14318b62c0
151dc91e60
hex1394b2f0

328512240 has 160 divisors (see below), whose sum is σ = 1293250560. Its totient is φ = 75085056.

The previous prime is 328512229. The next prime is 328512241. The reversal of 328512240 is 42215823.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328512241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4257 + ... + 25983.

It is an arithmetic number, because the mean of its divisors is an integer number (8082816).

Almost surely, 2328512240 is an apocalyptic number.

328512240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328512240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646625280).

328512240 is an abundant number, since it is smaller than the sum of its proper divisors (964738320).

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

328512240 is a wasteful number, since it uses less digits than its factorization.

328512240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21756 (or 21744 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 328512240 is about 18124.9066204491. The cubic root of 328512240 is about 690.0022684235.

The spelling of 328512240 in words is "three hundred twenty-eight million, five hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1512 1680 1890 2160 2520 3024 3780 5040 7560 15120 21727 43454 65181 86908 108635 130362 152089 173816 195543 217270 260724 304178 325905 347632 391086 434540 456267 521448 586629 608356 651810 760445 782172 869080 912534 977715 1042896 1173258 1216712 1303620 1368801 1520890 1564344 1738160 1825068 1955430 2281335 2346516 2433424 2607240 2737602 2933145 3041780 3128688 3650136 3910860 4106403 4562670 4693032 5214480 5475204 5866290 6083560 6844005 7300272 7821720 8212806 9125340 9386064 10950408 11732580 12167120 13688010 15643440 16425612 18250680 20532015 21900816 23465160 27376020 32851224 36501360 41064030 46930320 54752040 65702448 82128060 109504080 164256120 328512240