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42174330 = 23511227563
BaseRepresentation
bin1010000011100…
…0011101111010
32221100200022020
42200320131322
541244034310
64103535310
71021322142
oct240703572
987320266
1042174330
1121896220
121215a536
138978433
14585b922
153a81170
hex283877a

42174330 has 64 divisors (see below), whose sum is σ = 111103488. Its totient is φ = 10160960.

The previous prime is 42174329. The next prime is 42174337. The reversal of 42174330 is 3347124.

42174330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×421743302 = 3557348221897800, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 42174330.

It is not an unprimeable number, because it can be changed into a prime (42174337) 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 31 ways as a sum of consecutive naturals, for example, 74629 + ... + 75191.

It is an arithmetic number, because the mean of its divisors is an integer number (1735992).

Almost surely, 242174330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42174330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55551744).

42174330 is an abundant number, since it is smaller than the sum of its proper divisors (68929158).

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

42174330 is a wasteful number, since it uses less digits than its factorization.

42174330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811.

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 42174330 is about 6494.1766221747. The cubic root of 42174330 is about 348.0829337286.

The spelling of 42174330 in words is "forty-two million, one hundred seventy-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 227 330 454 563 681 1126 1135 1362 1689 2270 2497 2815 3378 3405 4994 5630 6193 6810 7491 8445 12386 12485 14982 16890 18579 24970 30965 37158 37455 61930 74910 92895 127801 185790 255602 383403 639005 766806 1278010 1405811 1917015 2811622 3834030 4217433 7029055 8434866 14058110 21087165 42174330