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34088484 = 223231131093
BaseRepresentation
bin1000001000001…
…0011000100100
32101010212121110
42002002120210
532211312414
63214345020
7562514223
oct202023044
971125543
1034088484
1118273201
12b4bb170
1370a6c01
144754cba
152ed5459
hex2082624

34088484 has 48 divisors (see below), whose sum is σ = 83809152. Its totient is φ = 10762752.

The previous prime is 34088479. The next prime is 34088503. The reversal of 34088484 is 48488043.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30642 + ... + 31734.

It is an arithmetic number, because the mean of its divisors is an integer number (1746024).

Almost surely, 234088484 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 34088484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41904576).

34088484 is an abundant number, since it is smaller than the sum of its proper divisors (49720668).

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

34088484 is a wasteful number, since it uses less digits than its factorization.

34088484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The square root of 34088484 is about 5838.5344051397. The cubic root of 34088484 is about 324.2419698338.

The spelling of 34088484 in words is "thirty-four million, eighty-eight thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 12 23 46 69 92 113 138 226 276 339 452 678 1093 1356 2186 2599 3279 4372 5198 6558 7797 10396 13116 15594 25139 31188 50278 75417 100556 123509 150834 247018 301668 370527 494036 741054 1482108 2840707 5681414 8522121 11362828 17044242 34088484