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34020468 = 22321755589
BaseRepresentation
bin1000000111000…
…1110001110100
32101000102022100
42001301301310
532202123333
63213102100
7562112016
oct201616164
971012270
1034020468
1118227099
12b487930
137081c71
1447381b6
152ec0213
hex2071c74

34020468 has 36 divisors (see below), whose sum is σ = 91056420. Its totient is φ = 10672896.

The previous prime is 34020463. The next prime is 34020479. The reversal of 34020468 is 86402043.

It can be written as a sum of positive squares in 2 ways, for example, as 10575504 + 23444964 = 3252^2 + 4842^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34020463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27183 + ... + 28406.

It is an arithmetic number, because the mean of its divisors is an integer number (2529345).

Almost surely, 234020468 is an apocalyptic number.

It is an amenable number.

34020468 is an abundant number, since it is smaller than the sum of its proper divisors (57035952).

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

34020468 is a wasteful number, since it uses less digits than its factorization.

34020468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55616 (or 55611 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 34020468 is about 5832.7067473001. The cubic root of 34020468 is about 324.0261752973.

The spelling of 34020468 in words is "thirty-four million, twenty thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 55589 111178 166767 222356 333534 500301 667068 945013 1000602 1890026 2001204 2835039 3780052 5670078 8505117 11340156 17010234 34020468