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29340 = 22325163
BaseRepresentation
bin111001010011100
31111020200
413022130
51414330
6343500
7151353
oct71234
944220
1029340
1120053
1214b90
131047c
14a99a
158a60
hex729c

29340 has 36 divisors (see below), whose sum is σ = 89544. Its totient is φ = 7776.

The previous prime is 29339. The next prime is 29347. The reversal of 29340 is 4392.

It can be divided in two parts, 293 and 40, that added together give a palindrome (333).

29340 = 52 + 62 + ... + 442.

29340 is nontrivially palindromic in base 14.

29340 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29347) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99 + ... + 261.

229340 is an apocalyptic number.

29340 is a gapful number since it is divisible by the number (20) 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 29340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44772).

29340 is an abundant number, since it is smaller than the sum of its proper divisors (60204).

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

29340 is a wasteful number, since it uses less digits than its factorization.

29340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 173 counting only the distinct ones).

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

The square root of 29340 is about 171.2892290834. The cubic root of 29340 is about 30.8427696140.

The spelling of 29340 in words is "twenty-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 163 180 326 489 652 815 978 1467 1630 1956 2445 2934 3260 4890 5868 7335 9780 14670 29340