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327428280 = 233252573539
BaseRepresentation
bin10011100001000…
…010100010111000
3211211010002011100
4103201002202320
51132310201110
652253531400
711054044254
oct2341024270
9754102140
10327428280
11158908793
12917a3b60
1352ab235a
14316b3264
151db2abc0
hex138428b8

327428280 has 96 divisors (see below), whose sum is σ = 1068584400. Its totient is φ = 86949888.

The previous prime is 327428267. The next prime is 327428291. The reversal of 327428280 is 82824723.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90751 + ... + 94289.

Almost surely, 2327428280 is an apocalyptic number.

327428280 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 327428280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534292200).

327428280 is an abundant number, since it is smaller than the sum of its proper divisors (741156120).

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

327428280 is a wasteful number, since it uses less digits than its factorization.

327428280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3813 (or 3806 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 327428280 is about 18094.9794141911. The cubic root of 327428280 is about 689.2425209840.

The spelling of 327428280 in words is "three hundred twenty-seven million, four hundred twenty-eight thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 257 360 514 771 1028 1285 1542 2056 2313 2570 3084 3539 3855 4626 5140 6168 7078 7710 9252 10280 10617 11565 14156 15420 17695 18504 21234 23130 28312 30840 31851 35390 42468 46260 53085 63702 70780 84936 92520 106170 127404 141560 159255 212340 254808 318510 424680 637020 909523 1274040 1819046 2728569 3638092 4547615 5457138 7276184 8185707 9095230 10914276 13642845 16371414 18190460 21828552 27285690 32742828 36380920 40928535 54571380 65485656 81857070 109142760 163714140 327428280