345053280 has 288 divisors, whose sum is σ = 1289427552. Its totient is φ = 77045760.

The previous prime is 345053257. The next prime is 345053287. The reversal of 345053280 is 82350543.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345053287) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 754812 + ... + 755268.

It is an arithmetic number, because the mean of its divisors is an integer number (4477179).

Almost surely, 2^345053280 is an apocalyptic number.

345053280 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 345053280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644713776).

345053280 is an abundant number, since it is smaller than the sum of its proper divisors (944374272).

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

345053280 is a wasteful number, since it uses less digits than its factorization.

345053280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 345053280 is about 18575.6098150236. The cubic root of 345053280 is about 701.3940111769.

The spelling of 345053280 in words is "three hundred forty-five million, fifty-three thousand, two hundred eighty".