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38340 = 2233571
BaseRepresentation
bin1001010111000100
31221121000
421113010
52211330
6453300
7216531
oct112704
957530
1038340
1126895
121a230
13145b3
14dd88
15b560
hex95c4

38340 has 48 divisors (see below), whose sum is σ = 120960. Its totient is φ = 10080.

The previous prime is 38333. The next prime is 38351. The reversal of 38340 is 4383.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is an unprimeable number.

38340 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 505 + ... + 575.

It is an arithmetic number, because the mean of its divisors is an integer number (2520).

238340 is an apocalyptic number.

38340 is a gapful number since it is divisible by the number (30) 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 38340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60480).

38340 is an abundant number, since it is smaller than the sum of its proper divisors (82620).

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

38340 is a wasteful number, since it uses less digits than its factorization.

38340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 38340 is about 195.8060264650. The cubic root of 38340 is about 33.7197259384.

It can be divided in two parts, 38 and 340, that added together give a triangular number (378 = T27).

The spelling of 38340 in words is "thirty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 71 90 108 135 142 180 213 270 284 355 426 540 639 710 852 1065 1278 1420 1917 2130 2556 3195 3834 4260 6390 7668 9585 12780 19170 38340