345261000 has 256 divisors, whose sum is σ = 1264273920. Its totient is φ = 76800000.

The previous prime is 345260999. The next prime is 345261017. The reversal of 345261000 is 162543.

It is a happy number.

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

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 63 ways as a sum of consecutive naturals, for example, 860800 + ... + 861200.

It is an arithmetic number, because the mean of its divisors is an integer number (4938570).

Almost surely, 2^345261000 is an apocalyptic number.

345261000 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 345261000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632136960).

345261000 is an abundant number, since it is smaller than the sum of its proper divisors (919012920).

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

345261000 is a wasteful number, since it uses less digits than its factorization.

345261000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 345261000 is about 18581.2001765225. The cubic root of 345261000 is about 701.5347279364.

The spelling of 345261000 in words is "three hundred forty-five million, two hundred sixty-one thousand".