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34821228 = 223132943179
BaseRepresentation
bin1000010011010…
…1010001101100
32102112002202010
42010311101230
532403234403
63242201220
7601655421
oct204652154
972462663
1034821228
1118723782
12b7b3210
1372a25a0
1448a5d48
1530cc603
hex213546c

34821228 has 96 divisors (see below), whose sum is σ = 93139200. Its totient is φ = 10047744.

The previous prime is 34821223. The next prime is 34821233. The reversal of 34821228 is 82212843.

It is an interprime number because it is at equal distance from previous prime (34821223) and next prime (34821233).

It is a super-3 number, since 3×348212283 (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34821195 and 34821204.

It is not an unprimeable number, because it can be changed into a prime (34821221) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 194443 + ... + 194621.

It is an arithmetic number, because the mean of its divisors is an integer number (970200).

Almost surely, 234821228 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 34821228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46569600).

34821228 is an abundant number, since it is smaller than the sum of its proper divisors (58317972).

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

34821228 is a wasteful number, since it uses less digits than its factorization.

34821228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 269 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 34821228 is about 5900.9514487072. The cubic root of 34821228 is about 326.5487514629.

The spelling of 34821228 in words is "thirty-four million, eight hundred twenty-one thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 26 29 39 43 52 58 78 86 87 116 129 156 172 174 179 258 348 358 377 516 537 559 716 754 1074 1118 1131 1247 1508 1677 2148 2236 2262 2327 2494 3354 3741 4524 4654 4988 5191 6708 6981 7482 7697 9308 10382 13962 14964 15394 15573 16211 20764 23091 27924 30788 31146 32422 46182 48633 62292 64844 67483 92364 97266 100061 134966 194532 200122 202449 223213 269932 300183 400244 404898 446426 600366 669639 809796 892852 1200732 1339278 2678556 2901769 5803538 8705307 11607076 17410614 34821228