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349932 = 223112241
BaseRepresentation
bin1010101011011101100
3122210000110
41111123230
542144212
611300020
72655132
oct1253354
9583013
10349932
11219a00
1214a610
13c337b
1491752
156da3c
hex556ec

349932 has 36 divisors (see below), whose sum is σ = 901208. Its totient is φ = 105600.

The previous prime is 349931. The next prime is 349933. The reversal of 349932 is 239943.

It is an interprime number because it is at equal distance from previous prime (349931) and next prime (349933).

It is a self number, because there is not a number n which added to its sum of digits gives 349932.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1332 + ... + 1572.

2349932 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 349932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450604).

349932 is an abundant number, since it is smaller than the sum of its proper divisors (551276).

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

349932 is a wasteful number, since it uses less digits than its factorization.

349932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 257 counting only the distinct ones).

The product of its digits is 5832, while the sum is 30.

The square root of 349932 is about 591.5505050289. The cubic root of 349932 is about 70.4684230602.

The spelling of 349932 in words is "three hundred forty-nine thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 241 242 363 482 484 723 726 964 1446 1452 2651 2892 5302 7953 10604 15906 29161 31812 58322 87483 116644 174966 349932