345261312 has 288 divisors, whose sum is σ = 1177344000. Its totient is φ = 98703360.

The previous prime is 345261299. The next prime is 345261359. The reversal of 345261312 is 213162543.

345261312 is a `hidden beast` number, since 3 + 4 + 526 + 131 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×345261312² = 238410747127922688, which contains 22 as substring.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1444489 + ... + 1444727.

It is an arithmetic number, because the mean of its divisors is an integer number (4088000).

Almost surely, 2^345261312 is an apocalyptic number.

345261312 is a gapful number since it is divisible by the number (32) 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 345261312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588672000).

345261312 is an abundant number, since it is smaller than the sum of its proper divisors (832082688).

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

345261312 is a wasteful number, since it uses less digits than its factorization.

345261312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 274 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 345261312 is about 18581.2085721032. The cubic root of 345261312 is about 701.5349392536.

The spelling of 345261312 in words is "three hundred forty-five million, two hundred sixty-one thousand, three hundred twelve".