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42110334 = 23371011103
BaseRepresentation
bin1010000010100…
…0110101111110
32221020102112000
42200220311332
541240012314
64102323130
71020634440
oct240506576
987212460
1042110334
1121852132
12121294a6
138955276
145842490
153a6c209
hex2828d7e

42110334 has 64 divisors (see below), whose sum is σ = 108103680. Its totient is φ = 11901600.

The previous prime is 42110303. The next prime is 42110347. The reversal of 42110334 is 43301124.

42110334 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 congruent number.

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, 37627 + ... + 38729.

It is an arithmetic number, because the mean of its divisors is an integer number (1689120).

Almost surely, 242110334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42110334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54051840).

42110334 is an abundant number, since it is smaller than the sum of its proper divisors (65993346).

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

42110334 is a wasteful number, since it uses less digits than its factorization.

42110334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 42110334 is about 6489.2475680929. The cubic root of 42110334 is about 347.9067824045.

Adding to 42110334 its reverse (43301124), we get a palindrome (85411458).

The spelling of 42110334 in words is "forty-two million, one hundred ten thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 101 126 189 202 303 378 606 707 909 1103 1414 1818 2121 2206 2727 3309 4242 5454 6363 6618 7721 9927 12726 15442 19089 19854 23163 29781 38178 46326 59562 69489 111403 138978 208467 222806 334209 416934 668418 779821 1002627 1559642 2005254 2339463 3007881 4678926 6015762 7018389 14036778 21055167 42110334