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40434320 = 245505429
BaseRepresentation
bin1001101000111…
…1101010010000
32211002021110102
42122033222100
540322344240
64002351532
71000454213
oct232175220
984067412
1040434320
11209079a3
121165b5a8
1384b9444
14552777a
15383a815
hex268fa90

40434320 has 20 divisors (see below), whose sum is σ = 94009980. Its totient is φ = 16173696.

The previous prime is 40434311. The next prime is 40434367. The reversal of 40434320 is 2343404.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 25441936 + 14992384 = 5044^2 + 3872^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 40434292 and 40434301.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 252635 + ... + 252794.

It is an arithmetic number, because the mean of its divisors is an integer number (4700499).

Almost surely, 240434320 is an apocalyptic number.

40434320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40434320 is an abundant number, since it is smaller than the sum of its proper divisors (53575660).

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

40434320 is a wasteful number, since it uses less digits than its factorization.

40434320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505442 (or 505436 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 40434320 is about 6358.7986286719. The cubic root of 40434320 is about 343.2285307630.

Adding to 40434320 its reverse (2343404), we get a palindrome (42777724).

The spelling of 40434320 in words is "forty million, four hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 505429 1010858 2021716 2527145 4043432 5054290 8086864 10108580 20217160 40434320