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345204 = 223243223
BaseRepresentation
bin1010100010001110100
3122112112100
41110101310
542021304
611222100
72635266
oct1242164
9575470
10345204
112163a2
12147930
13c1182
148db36
156c439
hex54474

345204 has 36 divisors (see below), whose sum is σ = 896896. Its totient is φ = 111888.

The previous prime is 345193. The next prime is 345221. The reversal of 345204 is 402543.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1437 + ... + 1659.

2345204 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 345204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448448).

345204 is an abundant number, since it is smaller than the sum of its proper divisors (551692).

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

345204 is a wasteful number, since it uses less digits than its factorization.

345204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 345204 is about 587.5406368925. The cubic root of 345204 is about 70.1496119772.

Adding to 345204 its reverse (402543), we get a palindrome (747747).

The spelling of 345204 in words is "three hundred forty-five thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 223 258 387 446 516 669 774 892 1338 1548 2007 2676 4014 8028 9589 19178 28767 38356 57534 86301 115068 172602 345204