434100114 has 128 divisors (see below), whose sum is σ = 1175040000. Its totient is φ = 118519632.

The previous prime is 434100103. The next prime is 434100119. The reversal of 434100114 is 411001434.

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 (434100119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 425497 + ... + 426515.

It is an arithmetic number, because the mean of its divisors is an integer number (9180000).

Almost surely, 2^434100114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434100114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587520000).

434100114 is an abundant number, since it is smaller than the sum of its proper divisors (740939886).

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

434100114 is a wasteful number, since it uses less digits than its factorization.

434100114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 434100114 is about 20835.0693303382. The cubic root of 434100114 is about 757.1756399747.

Adding to 434100114 its reverse (411001434), we get a palindrome (845101548).

The spelling of 434100114 in words is "four hundred thirty-four million, one hundred thousand, one hundred fourteen".