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345348 = 223253181
BaseRepresentation
bin1010100010100000100
3122112201200
41110110010
542022343
611222500
72635563
oct1242404
9575650
10345348
11216513
12147a30
13c1263
148dbda
156c4d3
hex54504

345348 has 36 divisors (see below), whose sum is σ = 894348. Its totient is φ = 112320.

The previous prime is 345329. The next prime is 345379. The reversal of 345348 is 843543.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 97344 + 248004 = 312^2 + 498^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×3453482 = 238530482208, which contains 22 as substring.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 345348.

It is an unprimeable number.

345348 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1818 + ... + 1998.

It is an arithmetic number, because the mean of its divisors is an integer number (24843).

2345348 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447174).

345348 is an abundant number, since it is smaller than the sum of its proper divisors (549000).

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

345348 is a wasteful number, since it uses less digits than its factorization.

345348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 239 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 345348 is about 587.6631688306. The cubic root of 345348 is about 70.1593647995.

The spelling of 345348 in words is "three hundred forty-five thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 181 212 318 362 477 543 636 724 954 1086 1629 1908 2172 3258 6516 9593 19186 28779 38372 57558 86337 115116 172674 345348