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34054000 = 245317027
BaseRepresentation
bin1000000111100…
…1111101110000
32101002010022021
42001321331300
532204212000
63213521224
7562311541
oct201717560
971063267
1034054000
111824a302
12b4a3214
1370942c6
1447464c8
152eca11a
hex2079f70

34054000 has 40 divisors (see below), whose sum is σ = 82347408. Its totient is φ = 13620800.

The previous prime is 34053983. The next prime is 34054003. The reversal of 34054000 is 45043.

34054000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34054003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6514 + ... + 10513.

Almost surely, 234054000 is an apocalyptic number.

It is an amenable number.

34054000 is an abundant number, since it is smaller than the sum of its proper divisors (48293408).

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

34054000 is a wasteful number, since it uses less digits than its factorization.

34054000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17050 (or 17034 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 34054000 is about 5835.5805195370. The cubic root of 34054000 is about 324.1325982690.

Adding to 34054000 its reverse (45043), we get a palindrome (34099043).

The spelling of 34054000 in words is "thirty-four million, fifty-four thousand", and thus it is an eban number.

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 17027 34054 68108 85135 136216 170270 272432 340540 425675 681080 851350 1362160 1702700 2128375 3405400 4256750 6810800 8513500 17027000 34054000