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42334020 = 22325479491
BaseRepresentation
bin1010000101111…
…1011101000100
32221122210100200
42201133131010
541314142040
64111210500
71022555541
oct241373504
987583320
1042334020
11219951a3
1212216a30
138a03021
14589dbc8
153ab3630
hex285f744

42334020 has 72 divisors (see below), whose sum is σ = 128943360. Its totient is φ = 11242560.

The previous prime is 42334013. The next prime is 42334021. The reversal of 42334020 is 2043324.

42334020 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 42333984 and 42334002.

It is not an unprimeable number, because it can be changed into a prime (42334021) 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 23 ways as a sum of consecutive naturals, for example, 85975 + ... + 86465.

It is an arithmetic number, because the mean of its divisors is an integer number (1790880).

Almost surely, 242334020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42334020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64471680).

42334020 is an abundant number, since it is smaller than the sum of its proper divisors (86609340).

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

42334020 is a wasteful number, since it uses less digits than its factorization.

42334020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 42334020 is about 6506.4598669322. The cubic root of 42334020 is about 348.5217105411.

Adding to 42334020 its reverse (2043324), we get a palindrome (44377344).

It can be divided in two parts, 423 and 34020, that added together give a palindrome (34443).

The spelling of 42334020 in words is "forty-two million, three hundred thirty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 479 491 958 982 1437 1473 1916 1964 2395 2455 2874 2946 4311 4419 4790 4910 5748 5892 7185 7365 8622 8838 9580 9820 14370 14730 17244 17676 21555 22095 28740 29460 43110 44190 86220 88380 235189 470378 705567 940756 1175945 1411134 2116701 2351890 2822268 3527835 4233402 4703780 7055670 8466804 10583505 14111340 21167010 42334020