34513248 has 288 divisors, whose sum is σ = 124104960. Its totient is φ = 8279040.

The previous prime is 34513231. The next prime is 34513249. The reversal of 34513248 is 84231543.

It is a super-3 number, since 3×34513248³ (a number of 24 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (11520) is a multiple of the sum of its prime factors (90).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34513249) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1190098 + ... + 1190126.

It is an arithmetic number, because the mean of its divisors is an integer number (430920).

Almost surely, 2^34513248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34513248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62052480).

34513248 is an abundant number, since it is smaller than the sum of its proper divisors (89591712).

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

34513248 is a wasteful number, since it uses less digits than its factorization.

34513248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 75 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 34513248 is about 5874.7976986446. The cubic root of 34513248 is about 325.5831675562.

The spelling of 34513248 in words is "thirty-four million, five hundred thirteen thousand, two hundred forty-eight".