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342312 = 23317839
BaseRepresentation
bin1010011100100101000
3122101120020
41103210220
541423222
611200440
72623665
oct1234450
9571506
10342312
11214203
12146120
13bca69
148ca6c
156b65c
hex53928

342312 has 32 divisors (see below), whose sum is σ = 907200. Its totient is φ = 107264.

The previous prime is 342299. The next prime is 342319. The reversal of 342312 is 213243.

342312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3423123 = 120333798627945984, which contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 342291 and 342300.

It is not an unprimeable number, because it can be changed into a prime (342319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12 + ... + 827.

It is an arithmetic number, because the mean of its divisors is an integer number (28350).

2342312 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 342312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453600).

342312 is an abundant number, since it is smaller than the sum of its proper divisors (564888).

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

342312 is a wasteful number, since it uses less digits than its factorization.

342312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 861 counting only the distinct ones).

The product of its digits is 144, while the sum is 15.

The square root of 342312 is about 585.0743542491. The cubic root of 342312 is about 69.9531659512.

Adding to 342312 its reverse (213243), we get a palindrome (555555).

It can be divided in two parts, 34 and 2312, that added together give a triangular number (2346 = T68).

The spelling of 342312 in words is "three hundred forty-two thousand, three hundred twelve", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 839 1678 2517 3356 5034 6712 10068 14263 20136 28526 42789 57052 85578 114104 171156 342312