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348984 = 233237131
BaseRepresentation
bin1010101001100111000
3122201201100
41111030320
542131414
611251400
72652306
oct1251470
9581640
10348984
11219219
12149b60
13c2acc
1491276
156d609
hex55338

348984 has 48 divisors (see below), whose sum is σ = 978120. Its totient is φ = 112320.

The previous prime is 348949. The next prime is 348989. The reversal of 348984 is 489843.

348984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 348984.

It is not an unprimeable number, because it can be changed into a prime (348989) 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, 2599 + ... + 2729.

2348984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489060).

348984 is an abundant number, since it is smaller than the sum of its proper divisors (629136).

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

348984 is a wasteful number, since it uses less digits than its factorization.

348984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 173 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 348984 is about 590.7486775271. The cubic root of 348984 is about 70.4047302262.

The spelling of 348984 in words is "three hundred forty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 131 148 222 262 296 333 393 444 524 666 786 888 1048 1179 1332 1572 2358 2664 3144 4716 4847 9432 9694 14541 19388 29082 38776 43623 58164 87246 116328 174492 348984