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30828330 = 2335138783
BaseRepresentation
bin111010110011…
…0011100101010
32011000020112000
41311212130222
530343001310
63020431430
7523015341
oct165463452
964006460
1030828330
1116446865
12a3a8576
136505020
144146b58
152a8e4c0
hex1d6672a

30828330 has 64 divisors (see below), whose sum is σ = 88542720. Its totient is φ = 7587648.

The previous prime is 30828323. The next prime is 30828341. The reversal of 30828330 is 3382803.

30828330 is a `hidden beast` number, since 308 + 28 + 330 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 30828294 and 30828303.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 882 + ... + 7901.

It is an arithmetic number, because the mean of its divisors is an integer number (1383480).

Almost surely, 230828330 is an apocalyptic number.

30828330 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 30828330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44271360).

30828330 is an abundant number, since it is smaller than the sum of its proper divisors (57714390).

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

30828330 is a wasteful number, since it uses less digits than its factorization.

30828330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8812 (or 8806 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 30828330 is about 5552.3265393887. The cubic root of 30828330 is about 313.5571196945.

The spelling of 30828330 in words is "thirty million, eight hundred twenty-eight thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 585 702 1170 1755 3510 8783 17566 26349 43915 52698 79047 87830 114179 131745 158094 228358 237141 263490 342537 395235 474282 570895 685074 790470 1027611 1141790 1185705 1712685 2055222 2371410 3082833 3425370 5138055 6165666 10276110 15414165 30828330