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348064 = 2573149
BaseRepresentation
bin1010100111110100000
3122200110021
41110332200
542114224
611243224
72646523
oct1247640
9580407
10348064
11218562
12149514
13c2572
1490bba
156d1e4
hex54fa0

348064 has 24 divisors (see below), whose sum is σ = 699300. Its totient is φ = 170496.

The previous prime is 348053. The next prime is 348077. The reversal of 348064 is 460843.

348064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 336400 + 11664 = 580^2 + 108^2 .

It is a super-2 number, since 2×3480642 = 242297096192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2262 + ... + 2410.

2348064 is an apocalyptic number.

It is an amenable number.

348064 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

348064 is a wasteful number, since it uses less digits than its factorization.

348064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 348064 is about 589.9694907366. The cubic root of 348064 is about 70.3428082342.

The spelling of 348064 in words is "three hundred forty-eight thousand, sixty-four".

Divisors: 1 2 4 8 16 32 73 146 149 292 298 584 596 1168 1192 2336 2384 4768 10877 21754 43508 87016 174032 348064