Search a number
-
+
330027828 = 2231323591559
BaseRepresentation
bin10011101010111…
…101001100110100
3212000000011001220
4103222331030310
51133441342303
652425350340
711115122154
oct2352751464
9760004056
10330027828
1115a323879
12926383b0
13534b2650
1431b8c764
151de91053
hex13abd334

330027828 has 96 divisors (see below), whose sum is σ = 880588800. Its totient is φ = 95424384.

The previous prime is 330027823. The next prime is 330027833. The reversal of 330027828 is 828720033.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (330027823) and next prime (330027833).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330027821) 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, 210913 + ... + 212471.

It is an arithmetic number, because the mean of its divisors is an integer number (9172800).

Almost surely, 2330027828 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 330027828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440294400).

330027828 is an abundant number, since it is smaller than the sum of its proper divisors (550560972).

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

330027828 is a wasteful number, since it uses less digits than its factorization.

330027828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1661 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 330027828 is about 18166.6680489296. The cubic root of 330027828 is about 691.0617470266.

The spelling of 330027828 in words is "three hundred thirty million, twenty-seven thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 59 69 78 92 118 138 156 177 236 276 299 354 598 708 767 897 1196 1357 1534 1559 1794 2301 2714 3068 3118 3588 4071 4602 4677 5428 6236 8142 9204 9354 16284 17641 18708 20267 35282 35857 40534 52923 60801 70564 71714 81068 91981 105846 107571 121602 143428 183962 211692 215142 243204 275943 367924 430284 466141 551886 932282 1103772 1195753 1398423 1864564 2115563 2391506 2796846 3587259 4231126 4783012 5593692 6346689 7174518 8462252 12693378 14349036 25386756 27502319 55004638 82506957 110009276 165013914 330027828