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39348 = 22321093
BaseRepresentation
bin1001100110110100
31222222100
421212310
52224343
6502100
7222501
oct114664
958870
1039348
1127621
121a930
1314baa
14104a8
15b9d3
hex99b4

39348 has 18 divisors (see below), whose sum is σ = 99554. Its totient is φ = 13104.

The previous prime is 39343. The next prime is 39359. The reversal of 39348 is 84393.

39348 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 39204 + 144 = 198^2 + 12^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39341) by changing a digit.

39348 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 5 ways as a sum of consecutive naturals, for example, 511 + ... + 582.

239348 is an apocalyptic number.

It is an amenable number.

39348 is an abundant number, since it is smaller than the sum of its proper divisors (60206).

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

39348 is a wasteful number, since it uses less digits than its factorization.

39348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1098 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 39348 is about 198.3633030578. The cubic root of 39348 is about 34.0126826964.

It can be divided in two parts, 393 and 48, that added together give a square (441 = 212).

The spelling of 39348 in words is "thirty-nine thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 1093 2186 3279 4372 6558 9837 13116 19674 39348