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34103664 = 24327231471
BaseRepresentation
bin1000001000011…
…0000101110000
32101011122102200
42002012011300
532212304124
63214543200
7562606410
oct202060560
971148380
1034103664
1118283651
12b507b00
1370b0aaa
14475a640
152ed9bc9
hex2086170

34103664 has 120 divisors (see below), whose sum is σ = 113897472. Its totient is φ = 9313920.

The previous prime is 34103653. The next prime is 34103701. The reversal of 34103664 is 46630143.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22449 + ... + 23919.

Almost surely, 234103664 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 34103664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56948736).

34103664 is an abundant number, since it is smaller than the sum of its proper divisors (79793808).

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

34103664 is a wasteful number, since it uses less digits than its factorization.

34103664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 34103664 is about 5839.8342442230. The cubic root of 34103664 is about 324.2900922699.

The spelling of 34103664 in words is "thirty-four million, one hundred three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 36 42 46 48 56 63 69 72 84 92 112 126 138 144 161 168 184 207 252 276 322 336 368 414 483 504 552 644 828 966 1008 1104 1288 1449 1471 1656 1932 2576 2898 2942 3312 3864 4413 5796 5884 7728 8826 10297 11592 11768 13239 17652 20594 23184 23536 26478 30891 33833 35304 41188 52956 61782 67666 70608 82376 92673 101499 105912 123564 135332 164752 185346 202998 211824 236831 247128 270664 304497 370692 405996 473662 494256 541328 608994 710493 741384 811992 947324 1217988 1420986 1482768 1623984 1894648 2131479 2435976 2841972 3789296 4262958 4871952 5683944 8525916 11367888 17051832 34103664