34248240 has 120 divisors (see below), whose sum is σ = 123898320. Its totient is φ = 8428032.

The previous prime is 34248223. The next prime is 34248281. The reversal of 34248240 is 4284243.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7531 + ... + 11189.

It is an arithmetic number, because the mean of its divisors is an integer number (1032486).

Almost surely, 2^34248240 is an apocalyptic number.

34248240 is a gapful number since it is divisible by the number (30) 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 34248240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61949160).

34248240 is an abundant number, since it is smaller than the sum of its proper divisors (89650080).

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

34248240 is a wasteful number, since it uses less digits than its factorization.

34248240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3691 (or 3682 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 34248240 is about 5852.1995864803. The cubic root of 34248240 is about 324.7477016267.

It can be divided in two parts, 3424 and 8240, that added together give a square (11664 = 108²).

The spelling of 34248240 in words is "thirty-four million, two hundred forty-eight thousand, two hundred forty".