Search a number
-
+
42434334 = 2331959701
BaseRepresentation
bin1010000111011…
…1111100011110
32221211212222000
42201313330132
541330344314
64113303130
71023454155
oct241677436
987755860
1042434334
1121a535a8
1212264aa6
138a39897
1458c859c
153ad3209
hex2877f1e

42434334 has 64 divisors (see below), whose sum is σ = 101088000. Its totient is φ = 13154400.

The previous prime is 42434323. The next prime is 42434339. The reversal of 42434334 is 43343424.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 42434298 and 42434307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42434339) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60184 + ... + 60884.

It is an arithmetic number, because the mean of its divisors is an integer number (1579500).

Almost surely, 242434334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42434334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50544000).

42434334 is an abundant number, since it is smaller than the sum of its proper divisors (58653666).

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

42434334 is a wasteful number, since it uses less digits than its factorization.

42434334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 784 counting only the distinct ones).

The product of its digits is 13824, while the sum is 27.

The square root of 42434334 is about 6514.1641060078. The cubic root of 42434334 is about 348.7967771688.

Adding to 42434334 its reverse (43343424), we get a palindrome (85777758).

The spelling of 42434334 in words is "forty-two million, four hundred thirty-four thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 59 114 118 171 177 342 354 513 531 701 1026 1062 1121 1402 1593 2103 2242 3186 3363 4206 6309 6726 10089 12618 13319 18927 20178 26638 30267 37854 39957 41359 60534 79914 82718 119871 124077 239742 248154 359613 372231 719226 744462 785821 1116693 1571642 2233386 2357463 4714926 7072389 14144778 21217167 42434334