345298590 has 288 divisors, whose sum is σ = 1187615520. Its totient is φ = 68802048.

The previous prime is 345298559. The next prime is 345298601. The reversal of 345298590 is 95892543.

345298590 is a `hidden beast` number, since 3 + 4 + 52 + 9 + 8 + 590 = 666.

It is a super-2 number, since 2×345298590² = 238462232511976200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1089112 + ... + 1089428.

It is an arithmetic number, because the mean of its divisors is an integer number (4123665).

Almost surely, 2^345298590 is an apocalyptic number.

345298590 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 345298590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593807760).

345298590 is an abundant number, since it is smaller than the sum of its proper divisors (842316930).

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

345298590 is a wasteful number, since it uses less digits than its factorization.

345298590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 345298590 is about 18582.2116552363. The cubic root of 345298590 is about 701.5601866796.

The spelling of 345298590 in words is "three hundred forty-five million, two hundred ninety-eight thousand, five hundred ninety".