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34253688 = 2337533847
BaseRepresentation
bin1000001010101…
…0101101111000
32101110021020010
42002222231320
532232104223
63222101520
7564102660
oct202525570
971407203
1034253688
1118376337
12b57a8a0
137134171
1447991a0
153019393
hex20aab78

34253688 has 64 divisors (see below), whose sum is σ = 99740160. Its totient is φ = 9599616.

The previous prime is 34253677. The next prime is 34253701. The reversal of 34253688 is 88635243.

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, 6981 + ... + 10827.

It is an arithmetic number, because the mean of its divisors is an integer number (1558440).

Almost surely, 234253688 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 34253688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49870080).

34253688 is an abundant number, since it is smaller than the sum of its proper divisors (65486472).

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

34253688 is a wasteful number, since it uses less digits than its factorization.

34253688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3916 (or 3912 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 34253688 is about 5852.6650339824. The cubic root of 34253688 is about 324.7649203380.

The spelling of 34253688 in words is "thirty-four million, two hundred fifty-three thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 53 56 84 106 159 168 212 318 371 424 636 742 1113 1272 1484 2226 2968 3847 4452 7694 8904 11541 15388 23082 26929 30776 46164 53858 80787 92328 107716 161574 203891 215432 323148 407782 611673 646296 815564 1223346 1427237 1631128 2446692 2854474 4281711 4893384 5708948 8563422 11417896 17126844 34253688