Search a number
-
+
349405128 = 23324852849
BaseRepresentation
bin10100110100110…
…111111111001000
3220100110121201200
4110310313333020
51203421431003
654400544200
711441615562
oct2464677710
9810417650
10349405128
1116a259276
1299022060
13575084c7
1434594332
1520a1c6a3
hex14d37fc8

349405128 has 24 divisors (see below), whose sum is σ = 946305750. Its totient is φ = 116468352.

The previous prime is 349405099. The next prime is 349405141. The reversal of 349405128 is 821504943.

It can be written as a sum of positive squares in only one way, i.e., 338633604 + 10771524 = 18402^2 + 3282^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 349405092 and 349405101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2426353 + ... + 2426496.

Almost surely, 2349405128 is an apocalyptic number.

It is an amenable number.

349405128 is an abundant number, since it is smaller than the sum of its proper divisors (596900622).

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

349405128 is a wasteful number, since it uses less digits than its factorization.

349405128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4852861 (or 4852854 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 349405128 is about 18692.3815497116. The cubic root of 349405128 is about 704.3303857752.

The spelling of 349405128 in words is "three hundred forty-nine million, four hundred five thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 4852849 9705698 14558547 19411396 29117094 38822792 43675641 58234188 87351282 116468376 174702564 349405128