345001734 has 192 divisors, whose sum is σ = 1016332800. Its totient is φ = 84680640.

The previous prime is 345001729. The next prime is 345001763. The reversal of 345001734 is 437100543.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 345001698 and 345001707.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 868824 + ... + 869220.

It is an arithmetic number, because the mean of its divisors is an integer number (5293400).

Almost surely, 2^345001734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345001734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508166400).

345001734 is an abundant number, since it is smaller than the sum of its proper divisors (671331066).

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

345001734 is a wasteful number, since it uses less digits than its factorization.

345001734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 345001734 is about 18574.2222986590. Note that the first 4 decimals coincide. The cubic root of 345001734 is about 701.3590833766.

The spelling of 345001734 in words is "three hundred forty-five million, one thousand, seven hundred thirty-four".