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34684896 = 2531753401
BaseRepresentation
bin1000010001001…
…1111111100000
32102021011201210
42010103333200
532334404041
63235230120
7600550101
oct204237740
972234653
1034684896
1118640304
12b748340
13725550c
14486c3a8
1530a2016
hex2113fe0

34684896 has 96 divisors (see below), whose sum is σ = 98467488. Its totient is φ = 10649600.

The previous prime is 34684889. The next prime is 34684907. The reversal of 34684896 is 69848643.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 86296 + ... + 86696.

It is an arithmetic number, because the mean of its divisors is an integer number (1025703).

Almost surely, 234684896 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 34684896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49233744).

34684896 is an abundant number, since it is smaller than the sum of its proper divisors (63782592).

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

34684896 is a wasteful number, since it uses less digits than its factorization.

34684896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 476 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The square root of 34684896 is about 5889.3884232575. The cubic root of 34684896 is about 326.1220264071.

The spelling of 34684896 in words is "thirty-four million, six hundred eighty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 53 68 96 102 106 136 159 204 212 272 318 401 408 424 544 636 802 816 848 901 1203 1272 1604 1632 1696 1802 2406 2544 2703 3208 3604 4812 5088 5406 6416 6817 7208 9624 10812 12832 13634 14416 19248 20451 21253 21624 27268 28832 38496 40902 42506 43248 54536 63759 81804 85012 86496 109072 127518 163608 170024 218144 255036 327216 340048 361301 510072 654432 680096 722602 1020144 1083903 1445204 2040288 2167806 2890408 4335612 5780816 8671224 11561632 17342448 34684896