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40434340 = 22537101541
BaseRepresentation
bin1001101000111…
…1101010100100
32211002021111011
42122033222210
540322344330
64002352004
71000454242
oct232175244
984067434
1040434340
1120907a11
121165b604
1384b945b
145527792
15383a82a
hex268faa4

40434340 has 48 divisors (see below), whose sum is σ = 88233264. Its totient is φ = 15552000.

The previous prime is 40434311. The next prime is 40434367. The reversal of 40434340 is 4343404.

It is a happy number.

40434340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 6071296 + 34363044 = 2464^2 + 5862^2 .

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 15 ways as a sum of consecutive naturals, for example, 74470 + ... + 75010.

It is an arithmetic number, because the mean of its divisors is an integer number (1838193).

Almost surely, 240434340 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 40434340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44116632).

40434340 is an abundant number, since it is smaller than the sum of its proper divisors (47798924).

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

40434340 is a wasteful number, since it uses less digits than its factorization.

40434340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 40434340 is about 6358.8002012958. The cubic root of 40434340 is about 343.2285873532.

Adding to 40434340 its reverse (4343404), we get a palindrome (44777744).

The spelling of 40434340 in words is "forty million, four hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 37 74 101 148 185 202 370 404 505 541 740 1010 1082 2020 2164 2705 3737 5410 7474 10820 14948 18685 20017 37370 40034 54641 74740 80068 100085 109282 200170 218564 273205 400340 546410 1092820 2021717 4043434 8086868 10108585 20217170 40434340