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34008828 = 2237537639
BaseRepresentation
bin1000000110111…
…0111011111100
32100222211100020
42001232323330
532201240303
63212532140
7562033050
oct201567374
970884306
1034008828
1118219377
12b481050
137079889
144733c60
152ebba53
hex206eefc

34008828 has 48 divisors (see below), whose sum is σ = 92413440. Its totient is φ = 9532224.

The previous prime is 34008827. The next prime is 34008833. The reversal of 34008828 is 82880043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34008827) 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, 633 + ... + 8271.

It is an arithmetic number, because the mean of its divisors is an integer number (1925280).

Almost surely, 234008828 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 34008828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46206720).

34008828 is an abundant number, since it is smaller than the sum of its proper divisors (58404612).

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

34008828 is a wasteful number, since it uses less digits than its factorization.

34008828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7706 (or 7704 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 34008828 is about 5831.7088404686. The cubic root of 34008828 is about 323.9892162239.

The spelling of 34008828 in words is "thirty-four million, eight thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 106 159 212 318 371 636 742 1113 1484 2226 4452 7639 15278 22917 30556 45834 53473 91668 106946 160419 213892 320838 404867 641676 809734 1214601 1619468 2429202 2834069 4858404 5668138 8502207 11336276 17004414 34008828