Search a number
-
+
346424112 = 243219532389
BaseRepresentation
bin10100101001100…
…000001100110000
3220010212011112200
4110221200030300
51202141032422
654213023200
711404361556
oct2451401460
9803764480
10346424112
11168602621
1298024b00
1356a036a8
1434019bd6
152062e2ac
hex14a60330

346424112 has 120 divisors (see below), whose sum is σ = 1040223600. Its totient is φ = 107288064.

The previous prime is 346424107. The next prime is 346424161. The reversal of 346424112 is 211424643.

It is a happy number.

346424112 is a `hidden beast` number, since 3 + 4 + 642 + 4 + 1 + 12 = 666.

346424112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143814 + ... + 146202.

It is an arithmetic number, because the mean of its divisors is an integer number (8668530).

Almost surely, 2346424112 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 346424112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520111800).

346424112 is an abundant number, since it is smaller than the sum of its proper divisors (693799488).

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

346424112 is a wasteful number, since it uses less digits than its factorization.

346424112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2475 (or 2466 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 346424112 is about 18612.4719475947. The cubic root of 346424112 is about 702.3216194971.

Adding to 346424112 its reverse (211424643), we get a palindrome (557848755).

The spelling of 346424112 in words is "three hundred forty-six million, four hundred twenty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 53 57 72 76 106 114 144 152 159 171 212 228 304 318 342 424 456 477 636 684 848 912 954 1007 1272 1368 1908 2014 2389 2544 2736 3021 3816 4028 4778 6042 7167 7632 8056 9063 9556 12084 14334 16112 18126 19112 21501 24168 28668 36252 38224 43002 45391 48336 57336 72504 86004 90782 114672 126617 136173 145008 172008 181564 253234 272346 344016 363128 379851 408519 506468 544692 726256 759702 817038 1012936 1089384 1139553 1519404 1634076 2025872 2178768 2279106 2405723 3038808 3268152 4558212 4811446 6077616 6536304 7217169 9116424 9622892 14434338 18232848 19245784 21651507 28868676 38491568 43303014 57737352 86606028 115474704 173212056 346424112