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34065696 = 2537163311
BaseRepresentation
bin1000000111110…
…0110100100000
32101002201100110
42001330310200
532210100241
63214051320
7562360620
oct201746440
971081313
1034065696
1118258075
12b4a9b40
137099722
14474a880
152ecd816
hex207cd20

34065696 has 96 divisors (see below), whose sum is σ = 103154688. Its totient is φ = 9642240.

The previous prime is 34065679. The next prime is 34065701. The reversal of 34065696 is 69656043.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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, 109381 + ... + 109691.

It is an arithmetic number, because the mean of its divisors is an integer number (1074528).

Almost surely, 234065696 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 34065696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51577344).

34065696 is an abundant number, since it is smaller than the sum of its proper divisors (69088992).

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

34065696 is a wasteful number, since it uses less digits than its factorization.

34065696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The square root of 34065696 is about 5836.5825617394. The cubic root of 34065696 is about 324.1697022895.

The spelling of 34065696 in words is "thirty-four million, sixty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 163 168 224 311 326 336 489 622 652 672 933 978 1141 1244 1304 1866 1956 2177 2282 2488 2608 3423 3732 3912 4354 4564 4976 5216 6531 6846 7464 7824 8708 9128 9952 13062 13692 14928 15648 17416 18256 26124 27384 29856 34832 36512 50693 52248 54768 69664 101386 104496 109536 152079 202772 208992 304158 354851 405544 608316 709702 811088 1064553 1216632 1419404 1622176 2129106 2433264 2838808 4258212 4866528 5677616 8516424 11355232 17032848 34065696