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349812 = 22334179
BaseRepresentation
bin1010101011001110100
3122202212000
41111121310
542143222
611255300
72654601
oct1253164
9582760
10349812
11219901
1214a530
13c32b8
14916a8
156d9ac
hex55674

349812 has 48 divisors (see below), whose sum is σ = 940800. Its totient is φ = 112320.

The previous prime is 349801. The next prime is 349813. The reversal of 349812 is 218943.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349813) by changing a digit.

349812 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 15 ways as a sum of consecutive naturals, for example, 4389 + ... + 4467.

It is an arithmetic number, because the mean of its divisors is an integer number (19600).

2349812 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 349812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470400).

349812 is an abundant number, since it is smaller than the sum of its proper divisors (590988).

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

349812 is a wasteful number, since it uses less digits than its factorization.

349812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 125 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 349812 is about 591.4490679678. The cubic root of 349812 is about 70.4603670402.

The spelling of 349812 in words is "three hundred forty-nine thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 79 82 108 123 158 164 237 246 316 369 474 492 711 738 948 1107 1422 1476 2133 2214 2844 3239 4266 4428 6478 8532 9717 12956 19434 29151 38868 58302 87453 116604 174906 349812