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40434318 = 23219191619
BaseRepresentation
bin1001101000111…
…1101010001110
32211002021110100
42122033222032
540322344233
64002351530
71000454211
oct232175216
984067410
1040434318
11209079a1
121165b5a6
1384b9442
145527778
15383a813
hex268fa8e

40434318 has 48 divisors (see below), whose sum is σ = 92851200. Its totient is φ = 12681360.

The previous prime is 40434311. The next prime is 40434367. The reversal of 40434318 is 81343404.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 40434291 and 40434300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40434311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65013 + ... + 65631.

It is an arithmetic number, because the mean of its divisors is an integer number (1934400).

Almost surely, 240434318 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40434318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46425600).

40434318 is an abundant number, since it is smaller than the sum of its proper divisors (52416882).

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

40434318 is a wasteful number, since it uses less digits than its factorization.

40434318 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 40434318 is about 6358.7984714095. The cubic root of 40434318 is about 343.2285251039.

The spelling of 40434318 in words is "forty million, four hundred thirty-four thousand, three hundred eighteen".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 191 342 382 573 619 1146 1238 1719 1857 3438 3629 3714 5571 7258 10887 11142 11761 21774 23522 32661 35283 65322 70566 105849 118229 211698 236458 354687 709374 1064061 2128122 2246351 4492702 6739053 13478106 20217159 40434318