351434000 has 80 divisors (see below), whose sum is σ = 855004800. Its totient is φ = 139708800.

The previous prime is 351433939. The next prime is 351434003. The reversal of 351434000 is 434153.

351434000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351434003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 397559 + ... + 398441.

It is an arithmetic number, because the mean of its divisors is an integer number (10687560).

Almost surely, 2^351434000 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 351434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427502400).

351434000 is an abundant number, since it is smaller than the sum of its proper divisors (503570800).

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

351434000 is a wasteful number, since it uses less digits than its factorization.

351434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 351434000 is about 18746.5730201549. The cubic root of 351434000 is about 705.6910214008.

Adding to 351434000 its reverse (434153), we get a palindrome (351868153).

The spelling of 351434000 in words is "three hundred fifty-one million, four hundred thirty-four thousand".