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34824040 = 235870601
BaseRepresentation
bin1000010011010…
…1111101101000
32102112020121021
42010311331220
532403332130
63242222224
7601666546
oct204657550
972466537
1034824040
11187258a9
12b7b4974
1372a3954
1448a6d96
1530cd37a
hex2135f68

34824040 has 16 divisors (see below), whose sum is σ = 78354180. Its totient is φ = 13929600.

The previous prime is 34824037. The next prime is 34824079. The reversal of 34824040 is 4042843.

34824040 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 2 ways, for example, as 34786404 + 37636 = 5898^2 + 194^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34823996 and 34824014.

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 3 ways as a sum of consecutive naturals, for example, 435261 + ... + 435340.

Almost surely, 234824040 is an apocalyptic number.

It is an amenable number.

34824040 is an abundant number, since it is smaller than the sum of its proper divisors (43530140).

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

34824040 is a wasteful number, since it uses less digits than its factorization.

34824040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870612 (or 870608 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 34824040 is about 5901.1897105584. The cubic root of 34824040 is about 326.5575414111.

Adding to 34824040 its reverse (4042843), we get a palindrome (38866883).

The spelling of 34824040 in words is "thirty-four million, eight hundred twenty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 870601 1741202 3482404 4353005 6964808 8706010 17412020 34824040