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345352 = 2372881
BaseRepresentation
bin1010100010100001000
3122112201211
41110110020
542022402
611222504
72635600
oct1242410
9575654
10345352
11216517
12147a34
13c1267
148dc00
156c4d7
hex54508

345352 has 24 divisors (see below), whose sum is σ = 754110. Its totient is φ = 147840.

The previous prime is 345329. The next prime is 345379. The reversal of 345352 is 253543.

It can be written as a sum of positive squares in only one way, i.e., 329476 + 15876 = 574^2 + 126^2 .

It is a congruent number.

It is an unprimeable number.

345352 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 5 ways as a sum of consecutive naturals, for example, 49 + ... + 832.

2345352 is an apocalyptic number.

It is an amenable number.

345352 is an abundant number, since it is smaller than the sum of its proper divisors (408758).

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

345352 is a wasteful number, since it uses less digits than its factorization.

345352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 890 counting only the distinct ones).

The product of its digits is 1800, while the sum is 22.

The square root of 345352 is about 587.6665721308. Note that the first 3 decimals coincide. The cubic root of 345352 is about 70.1596356726.

Adding to 345352 its reverse (253543), we get a palindrome (598895).

Subtracting from 345352 its reverse (253543), we obtain a square (91809 = 3032).

The spelling of 345352 in words is "three hundred forty-five thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 881 1762 3524 6167 7048 12334 24668 43169 49336 86338 172676 345352