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34029040 = 245425363
BaseRepresentation
bin1000000111001…
…1110111110000
32101000212001211
42001303313300
532202412130
63213205504
7562146013
oct201636760
971025054
1034029040
1118232581
12b490894
137085b36
14473b37a
152ec2a2a
hex2073df0

34029040 has 20 divisors (see below), whose sum is σ = 79117704. Its totient is φ = 13611584.

The previous prime is 34029031. The next prime is 34029043. The reversal of 34029040 is 4092043.

34029040 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 (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34029043) 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 3 ways as a sum of consecutive naturals, for example, 212602 + ... + 212761.

Almost surely, 234029040 is an apocalyptic number.

It is an amenable number.

34029040 is an abundant number, since it is smaller than the sum of its proper divisors (45088664).

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

34029040 is a wasteful number, since it uses less digits than its factorization.

34029040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425376 (or 425370 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 34029040 is about 5833.4415228062. The cubic root of 34029040 is about 324.0533875344.

The spelling of 34029040 in words is "thirty-four million, twenty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 425363 850726 1701452 2126815 3402904 4253630 6805808 8507260 17014520 34029040