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34983828 = 223211232167
BaseRepresentation
bin1000010101110…
…0111110010100
32102211100210100
42011130332110
532423440303
63245454100
7603233445
oct205347624
972740710
1034983828
1118824960
12b871330
13732b5b9
1449092cc
1531108a3
hex215cf94

34983828 has 108 divisors (see below), whose sum is σ = 101451168. Its totient is φ = 10079520.

The previous prime is 34983821. The next prime is 34983899. The reversal of 34983828 is 82838943.

34983828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34983821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 209401 + ... + 209567.

Almost surely, 234983828 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 34983828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50725584).

34983828 is an abundant number, since it is smaller than the sum of its proper divisors (66467340).

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

34983828 is a wasteful number, since it uses less digits than its factorization.

34983828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 206 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 34983828 is about 5914.7128417194. The cubic root of 34983828 is about 327.0562426055.

It can be divided in two parts, 349838 and 28, that added together give a triangular number (349866 = T836).

The spelling of 34983828 in words is "thirty-four million, nine hundred eighty-three thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 132 138 167 198 207 253 276 334 396 414 501 506 529 668 759 828 1002 1012 1058 1503 1518 1587 1837 2004 2116 2277 3006 3036 3174 3674 3841 4554 4761 5511 5819 6012 6348 7348 7682 9108 9522 11022 11523 11638 15364 16533 17457 19044 22044 23046 23276 33066 34569 34914 42251 46092 52371 66132 69138 69828 84502 88343 104742 126753 138276 169004 176686 209484 253506 265029 353372 380259 507012 530058 760518 795087 971773 1060116 1521036 1590174 1943546 2915319 3180348 3887092 5830638 8745957 11661276 17491914 34983828