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34338668 = 22713293253
BaseRepresentation
bin1000001011111…
…1011101101100
32101121120210112
42002333131230
532242314133
63223555152
7564605510
oct202773554
971546715
1034338668
1118424171
12b5bbab8
137163a50
1447bc140
153034648
hex20bf76c

34338668 has 48 divisors (see below), whose sum is σ = 76534080. Its totient is φ = 13112064.

The previous prime is 34338659. The next prime is 34338671. The reversal of 34338668 is 86683343.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8930 + ... + 12182.

It is an arithmetic number, because the mean of its divisors is an integer number (1594460).

Almost surely, 234338668 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 34338668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38267040).

34338668 is an abundant number, since it is smaller than the sum of its proper divisors (42195412).

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

34338668 is a wasteful number, since it uses less digits than its factorization.

34338668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3306 (or 3304 counting only the distinct ones).

The product of its digits is 248832, while the sum is 41.

The square root of 34338668 is about 5859.9204772761. The cubic root of 34338668 is about 325.0332683893.

The spelling of 34338668 in words is "thirty-four million, three hundred thirty-eight thousand, six hundred sixty-eight".

Divisors: 1 2 4 7 13 14 26 28 29 52 58 91 116 182 203 364 377 406 754 812 1508 2639 3253 5278 6506 10556 13012 22771 42289 45542 84578 91084 94337 169156 188674 296023 377348 592046 660359 1184092 1226381 1320718 2452762 2641436 4905524 8584667 17169334 34338668