Search a number
-
+
343396638 = 23313598291
BaseRepresentation
bin10100011101111…
…101000100011110
3212221011100122000
4110131331010132
51200402143023
654024103130
711336552244
oct2435750436
9787140560
10343396638
11166924a82
1297004aa6
13561b36a0
143386c794
1520232243
hex1477d11e

343396638 has 64 divisors (see below), whose sum is σ = 835833600. Its totient is φ = 103857120.

The previous prime is 343396637. The next prime is 343396673. The reversal of 343396638 is 836693343.

343396638 is a `hidden beast` number, since 3 + 4 + 3 + 3 + 9 + 6 + 638 = 666.

343396638 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 343396593 and 343396602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343396637) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37273 + ... + 45563.

It is an arithmetic number, because the mean of its divisors is an integer number (13059900).

Almost surely, 2343396638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343396638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417916800).

343396638 is an abundant number, since it is smaller than the sum of its proper divisors (492436962).

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

343396638 is a wasteful number, since it uses less digits than its factorization.

343396638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8374 (or 8368 counting only the distinct ones).

The product of its digits is 839808, while the sum is 45.

The square root of 343396638 is about 18530.9643030254. The cubic root of 343396638 is about 700.2697178301.

The spelling of 343396638 in words is "three hundred forty-three million, three hundred ninety-six thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 59 78 117 118 177 234 351 354 531 702 767 1062 1534 1593 2301 3186 4602 6903 8291 13806 16582 20709 24873 41418 49746 74619 107783 149238 215566 223857 323349 447714 489169 646698 970047 978338 1467507 1940094 2910141 2935014 4402521 5820282 6359197 8805042 12718394 13207563 19077591 26415126 38155182 57232773 114465546 171698319 343396638