10434336 has 96 divisors (see below), whose sum is σ = 30735936. Its totient is φ = 3072000.

The previous prime is 10434323. The next prime is 10434343. The reversal of 10434336 is 63343401.

10434336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43176 + ... + 43416.

It is an arithmetic number, because the mean of its divisors is an integer number (320166).

Almost surely, 2^10434336 is an apocalyptic number.

10434336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10434336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15367968).

10434336 is an abundant number, since it is smaller than the sum of its proper divisors (20301600).

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

10434336 is a wasteful number, since it uses less digits than its factorization.

10434336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 10434336 is about 3230.2222833731. Note that the first 4 decimals coincide. The cubic root of 10434336 is about 218.5185311047.

Adding to 10434336 its reverse (63343401), we get a palindrome (73777737).

The spelling of 10434336 in words is "ten million, four hundred thirty-four thousand, three hundred thirty-six".