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34056570 = 2355971271
BaseRepresentation
bin1000000111101…
…0100101111010
32101002020211110
42001322211322
532204302240
63213541150
7562322202
oct201724572
971066743
1034056570
1118251229
12b4a47b6
137095522
144747402
152ecac80
hex207a97a

34056570 has 64 divisors (see below), whose sum is σ = 84602880. Its totient is φ = 8769600.

The previous prime is 34056557. The next prime is 34056599. The reversal of 34056570 is 7565043.

34056570 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a cake number, because a cake can be divided into 34056570 parts by 589 planar cuts.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 125535 + ... + 125805.

It is an arithmetic number, because the mean of its divisors is an integer number (1321920).

Almost surely, 234056570 is an apocalyptic number.

34056570 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34056570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42301440).

34056570 is an abundant number, since it is smaller than the sum of its proper divisors (50546310).

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

34056570 is a wasteful number, since it uses less digits than its factorization.

34056570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411.

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 34056570 is about 5835.8007162685. The cubic root of 34056570 is about 324.1407519840.

The spelling of 34056570 in words is "thirty-four million, fifty-six thousand, five hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 59 71 118 142 177 213 271 295 354 355 426 542 590 710 813 885 1065 1355 1626 1770 2130 2710 4065 4189 8130 8378 12567 15989 19241 20945 25134 31978 38482 41890 47967 57723 62835 79945 95934 96205 115446 125670 159890 192410 239835 288615 479670 577230 1135219 2270438 3405657 5676095 6811314 11352190 17028285 34056570