10349472 has 48 divisors (see below), whose sum is σ = 31050432. Its totient is φ = 2956800.

The previous prime is 10349467. The next prime is 10349473. The reversal of 10349472 is 27494301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10349472² = 214223141357568, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (10349473) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7029 + ... + 8372.

It is an arithmetic number, because the mean of its divisors is an integer number (646884).

Almost surely, 2^10349472 is an apocalyptic number.

10349472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10349472 is an abundant number, since it is smaller than the sum of its proper divisors (20700960).

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

10349472 is a wasteful number, since it uses less digits than its factorization.

10349472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15421 (or 15413 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 10349472 is about 3217.0595269594. The cubic root of 10349472 is about 217.9245032179.

The spelling of 10349472 in words is "ten million, three hundred forty-nine thousand, four hundred seventy-two".