301042434 has 96 divisors (see below), whose sum is σ = 777264768. Its totient is φ = 76032000.

The previous prime is 301042433. The next prime is 301042439. The reversal of 301042434 is 434240103.

301042434 = 282² + 283² + ... + 974².

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 301042434.

It is not an unprimeable number, because it can be changed into a prime (301042433) 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, 187234 + ... + 188834.

It is an arithmetic number, because the mean of its divisors is an integer number (8096508).

Almost surely, 2^301042434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 301042434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388632384).

301042434 is an abundant number, since it is smaller than the sum of its proper divisors (476222334).

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

301042434 is a wasteful number, since it uses less digits than its factorization.

301042434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 301042434 is about 17350.5744573487. The cubic root of 301042434 is about 670.2074311320.

Adding to 301042434 its reverse (434240103), we get a palindrome (735282537).

It can be divided in two parts, 301042 and 434, that added together give a triangular number (301476 = T₇₇₆).

The spelling of 301042434 in words is "three hundred one million, forty-two thousand, four hundred thirty-four".