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34685568 = 273230109
BaseRepresentation
bin1000010001010…
…0001010000000
32102021012122200
42010110022000
532334414233
63235233200
7600552051
oct204241200
972235580
1034685568
1118640865
12b748800
137255908
14486c728
1530a2313
hex2114280

34685568 has 48 divisors (see below), whose sum is σ = 99814650. Its totient is φ = 11561472.

The previous prime is 34685557. The next prime is 34685579. The reversal of 34685568 is 86558643.

34685568 is a `hidden beast` number, since 3 + 4 + 6 + 85 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (34685557) and next prime (34685579).

It can be written as a sum of positive squares in only one way, i.e., 31270464 + 3415104 = 5592^2 + 1848^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13903 + ... + 16206.

Almost surely, 234685568 is an apocalyptic number.

It is an amenable number.

34685568 is an abundant number, since it is smaller than the sum of its proper divisors (65129082).

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

34685568 is a wasteful number, since it uses less digits than its factorization.

34685568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30129 (or 30114 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 34685568 is about 5889.4454747455. The cubic root of 34685568 is about 326.1241325360.

It can be divided in two parts, 34685 and 568, that added together give a palindrome (35253).

The spelling of 34685568 in words is "thirty-four million, six hundred eighty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 30109 60218 90327 120436 180654 240872 270981 361308 481744 541962 722616 963488 1083924 1445232 1926976 2167848 2890464 3853952 4335696 5780928 8671392 11561856 17342784 34685568