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30942 = 234191
BaseRepresentation
bin111100011011110
31120110000
413203132
51442232
6355130
7156132
oct74336
946400
1030942
112127a
1215aa6
1311112
14b3c2
15927c
hex78de

30942 has 20 divisors (see below), whose sum is σ = 69696. Its totient is φ = 10260.

The previous prime is 30941. The next prime is 30949. The reversal of 30942 is 24903.

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

It is a plaindrome in base 13 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30941) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 67 + ... + 257.

230942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34848).

30942 is an abundant number, since it is smaller than the sum of its proper divisors (38754).

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

30942 is a wasteful number, since it uses less digits than its factorization.

30942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 30942 is about 175.9033825712. The cubic root of 30942 is about 31.3942028867.

It can be divided in two parts, 309 and 42, that added together give a triangular number (351 = T26).

The spelling of 30942 in words is "thirty thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 191 382 573 1146 1719 3438 5157 10314 15471 30942