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342936 = 233211433
BaseRepresentation
bin1010011101110011000
3122102102100
41103232120
541433221
611203400
72625546
oct1235630
9572370
10342936
11214720
12146560
13c0129
148cd96
156b926
hex53b98

342936 has 48 divisors (see below), whose sum is σ = 1015560. Its totient is φ = 103680.

The previous prime is 342929. The next prime is 342949. The reversal of 342936 is 639243.

342936 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

342936 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, 576 + ... + 1008.

2342936 is an apocalyptic number.

342936 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507780).

342936 is an abundant number, since it is smaller than the sum of its proper divisors (672624).

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

342936 is a wasteful number, since it uses less digits than its factorization.

342936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 449 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 342936 is about 585.6073770027. The cubic root of 342936 is about 69.9956459877.

The spelling of 342936 in words is "three hundred forty-two thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 433 792 866 1299 1732 2598 3464 3897 4763 5196 7794 9526 10392 14289 15588 19052 28578 31176 38104 42867 57156 85734 114312 171468 342936