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40434204 = 223191091627
BaseRepresentation
bin1001101000111…
…1101000011100
32211002021022010
42122033220130
540322343304
64002351220
71000453656
oct232175034
984067263
1040434204
11209078a8
121165b510
1384b9385
1455276d6
15383a789
hex268fa1c

40434204 has 48 divisors (see below), whose sum is σ = 100284800. Its totient is φ = 12643776.

The previous prime is 40434203. The next prime is 40434209. The reversal of 40434204 is 40243404.

40434204 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 2×404342042 = 3269849706227232, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40434203) 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 15 ways as a sum of consecutive naturals, for example, 24039 + ... + 25665.

Almost surely, 240434204 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 40434204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50142400).

40434204 is an abundant number, since it is smaller than the sum of its proper divisors (59850596).

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

40434204 is a wasteful number, since it uses less digits than its factorization.

40434204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 40434204 is about 6358.7895074456. The cubic root of 40434204 is about 343.2282025389.

Adding to 40434204 its reverse (40243404), we get a palindrome (80677608).

The spelling of 40434204 in words is "forty million, four hundred thirty-four thousand, two hundred four".

Divisors: 1 2 3 4 6 12 19 38 57 76 109 114 218 228 327 436 654 1308 1627 2071 3254 4142 4881 6213 6508 8284 9762 12426 19524 24852 30913 61826 92739 123652 177343 185478 354686 370956 532029 709372 1064058 2128116 3369517 6739034 10108551 13478068 20217102 40434204