345214320 has 160 divisors (see below), whose sum is σ = 1194994944. Its totient is φ = 81715200.

The previous prime is 345214271. The next prime is 345214343. The reversal of 345214320 is 23412543.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 112000 + ... + 115040.

Almost surely, 2^345214320 is an apocalyptic number.

345214320 is a gapful number since it is divisible by the number (30) 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 345214320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597497472).

345214320 is an abundant number, since it is smaller than the sum of its proper divisors (849780624).

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

345214320 is a wasteful number, since it uses less digits than its factorization.

345214320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3111 (or 3105 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 345214320 is about 18579.9440257499. The cubic root of 345214320 is about 701.5031101969.

Adding to 345214320 its reverse (23412543), we get a palindrome (368626863).

The spelling of 345214320 in words is "three hundred forty-five million, two hundred fourteen thousand, three hundred twenty".