Search a number
-
+
344112461 = 71143310321
BaseRepresentation
bin10100100000101…
…011110101001101
3212222111201112222
4110200223311031
51201043044321
654051305125
711345623220
oct2440536515
9788451488
10344112461
11167273870
12972ab1a5
13563a4454
14339b75b7
15203243ab
hex1482bd4d

344112461 has 16 divisors (see below), whose sum is σ = 430055808. Its totient is φ = 267494400.

The previous prime is 344112409. The next prime is 344112473. The reversal of 344112461 is 164211443.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-344112461 is a prime.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 344112461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344112661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28181 + ... + 38501.

It is an arithmetic number, because the mean of its divisors is an integer number (26878488).

Almost surely, 2344112461 is an apocalyptic number.

It is an amenable number.

344112461 is a deficient number, since it is larger than the sum of its proper divisors (85943347).

344112461 is a wasteful number, since it uses less digits than its factorization.

344112461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10772.

The product of its digits is 2304, while the sum is 26.

The square root of 344112461 is about 18550.2684886230. The cubic root of 344112461 is about 700.7559595041.

The spelling of 344112461 in words is "three hundred forty-four million, one hundred twelve thousand, four hundred sixty-one".

Divisors: 1 7 11 77 433 3031 4763 10321 33341 72247 113531 794717 4468993 31282951 49158923 344112461