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42341022 = 2332373467
BaseRepresentation
bin1010000110000…
…1001010011110
32221200010222000
42201201022132
541314403042
64111303130
71022615133
oct241411236
987603860
1042341022
112199a489
121221aaa6
138a06279
1458a258a
153ab574c
hex286129e

42341022 has 64 divisors (see below), whose sum is σ = 99740160. Its totient is φ = 13286592.

The previous prime is 42341021. The next prime is 42341023. The reversal of 42341022 is 22014324.

It is an interprime number because it is at equal distance from previous prime (42341021) and next prime (42341023).

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 = 42340986 and 42341004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42341021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90433 + ... + 90899.

It is an arithmetic number, because the mean of its divisors is an integer number (1558440).

Almost surely, 242341022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42341022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49870080).

42341022 is an abundant number, since it is smaller than the sum of its proper divisors (57399138).

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

42341022 is a wasteful number, since it uses less digits than its factorization.

42341022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 42341022 is about 6506.9979253109. The cubic root of 42341022 is about 348.5409245167.

Adding to 42341022 its reverse (22014324), we get a palindrome (64355346).

The spelling of 42341022 in words is "forty-two million, three hundred forty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 73 138 146 207 219 414 438 467 621 657 934 1242 1314 1401 1679 1971 2802 3358 3942 4203 5037 8406 10074 10741 12609 15111 21482 25218 30222 32223 34091 45333 64446 68182 90666 96669 102273 193338 204546 290007 306819 580014 613638 784093 920457 1568186 1840914 2352279 4704558 7056837 14113674 21170511 42341022