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328493130 = 23572322957
BaseRepresentation
bin10011100101000…
…110100001001010
3211220010011212020
4103211012201022
51133043240010
652332425310
711066100630
oct2345064112
9756104766
10328493130
11159475829
1292018236
1353095c44
14318ad350
151dc8b470
hex1394684a

328493130 has 96 divisors (see below), whose sum is σ = 942205824. Its totient is φ = 71795328.

The previous prime is 328493093. The next prime is 328493131. The reversal of 328493130 is 31394823.

It is a happy number.

328493130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 328493091 and 328493100.

It is not an unprimeable number, because it can be changed into a prime (328493131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109612 + ... + 112568.

It is an arithmetic number, because the mean of its divisors is an integer number (9814644).

Almost surely, 2328493130 is an apocalyptic number.

328493130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 328493130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471102912).

328493130 is an abundant number, since it is smaller than the sum of its proper divisors (613712694).

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

328493130 is a wasteful number, since it uses less digits than its factorization.

328493130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3020 (or 2997 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 328493130 is about 18124.3794376525. The cubic root of 328493130 is about 689.9888887100.

The spelling of 328493130 in words is "three hundred twenty-eight million, four hundred ninety-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 46 69 70 105 115 138 161 210 230 322 345 483 529 690 805 966 1058 1587 1610 2415 2645 2957 3174 3703 4830 5290 5914 7406 7935 8871 11109 14785 15870 17742 18515 20699 22218 29570 37030 41398 44355 55545 62097 68011 88710 103495 111090 124194 136022 204033 206990 310485 340055 408066 476077 620970 680110 952154 1020165 1428231 1564253 2040330 2380385 2856462 3128506 4692759 4760770 7141155 7821265 9385518 10949771 14282310 15642530 21899542 23463795 32849313 46927590 54748855 65698626 109497710 164246565 328493130