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34828188 = 22329412441
BaseRepresentation
bin1000010011011…
…0111110011100
32102112110021220
42010312332130
532404000223
63242253340
7602014623
oct204667634
972473256
1034828188
1118728a2a
12b7b7250
1372a57c5
1448a86ba
1530ce6e3
hex2136f9c

34828188 has 48 divisors (see below), whose sum is σ = 86153760. Its totient is φ = 10931200.

The previous prime is 34828181. The next prime is 34828193. The reversal of 34828188 is 88182843.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34828181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13048 + ... + 15488.

It is an arithmetic number, because the mean of its divisors is an integer number (1794870).

Almost surely, 234828188 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 34828188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43076880).

34828188 is an abundant number, since it is smaller than the sum of its proper divisors (51325572).

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

34828188 is a wasteful number, since it uses less digits than its factorization.

34828188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2518 (or 2516 counting only the distinct ones).

The product of its digits is 98304, while the sum is 42.

The square root of 34828188 is about 5901.5411546477. The cubic root of 34828188 is about 326.5705066587.

It can be divided in two parts, 348 and 28188, that multiplied together give a square (9809424 = 31322).

The spelling of 34828188 in words is "thirty-four million, eight hundred twenty-eight thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 12 29 41 58 82 87 116 123 164 174 246 348 492 1189 2378 2441 3567 4756 4882 7134 7323 9764 14268 14646 29292 70789 100081 141578 200162 212367 283156 300243 400324 424734 600486 849468 1200972 2902349 5804698 8707047 11609396 17414094 34828188