34101048 has 128 divisors (see below), whose sum is σ = 97977600. Its totient is φ = 9824256.

The previous prime is 34101047. The next prime is 34101049. The reversal of 34101048 is 84010143.

It is an interprime number because it is at equal distance from previous prime (34101047) and next prime (34101049).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34101043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 410815 + ... + 410897.

It is an arithmetic number, because the mean of its divisors is an integer number (765450).

Almost surely, 2^34101048 is an apocalyptic number.

34101048 is a gapful number since it is divisible by the number (38) 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 34101048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48988800).

34101048 is an abundant number, since it is smaller than the sum of its proper divisors (63876552).

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

34101048 is a wasteful number, since it uses less digits than its factorization.

34101048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 34101048 is about 5839.6102609678. The cubic root of 34101048 is about 324.2818002520.

The spelling of 34101048 in words is "thirty-four million, one hundred one thousand, forty-eight".