34001046 has 48 divisors (see below), whose sum is σ = 78222144. Its totient is φ = 11063304.

The previous prime is 34001041. The next prime is 34001053. The reversal of 34001046 is 64010043.

It is a super-2 number, since 2×34001046² = 2312142258188232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34001041) 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, 20085 + ... + 21711.

It is an arithmetic number, because the mean of its divisors is an integer number (1629628).

Almost surely, 2^34001046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34001046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39111072).

34001046 is an abundant number, since it is smaller than the sum of its proper divisors (44221098).

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

34001046 is a wasteful number, since it uses less digits than its factorization.

34001046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1687 (or 1675 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 34001046 is about 5831.0415879155. The cubic root of 34001046 is about 323.9645022838.

Adding to 34001046 its reverse (64010043), we get a palindrome (98011089).

The spelling of 34001046 in words is "thirty-four million, one thousand, forty-six".