10346952 has 96 divisors (see below), whose sum is σ = 32558400. Its totient is φ = 2682240.

The previous prime is 10346933. The next prime is 10346953. The reversal of 10346952 is 25964301.

10346952 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10346953) 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, 20074 + ... + 20582.

It is an arithmetic number, because the mean of its divisors is an integer number (339150).

Almost surely, 2^10346952 is an apocalyptic number.

10346952 is a gapful number since it is divisible by the number (12) 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 10346952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16279200).

10346952 is an abundant number, since it is smaller than the sum of its proper divisors (22211448).

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

10346952 is a wasteful number, since it uses less digits than its factorization.

10346952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 10346952 is about 3216.6678411051. The cubic root of 10346952 is about 217.9068142535.

The spelling of 10346952 in words is "ten million, three hundred forty-six thousand, nine hundred fifty-two".