Search a number
-
+
340610312 = 23723673947
BaseRepresentation
bin10100010011010…
…100110100001000
3212201220210111202
4110103110310020
51144144012222
653444243332
711304065660
oct2423246410
9781823452
10340610312
111652a1629
12960a0548
1355749383
14333451a0
151ed81892
hex144d4d08

340610312 has 64 divisors (see below), whose sum is σ = 773176320. Its totient is φ = 137510208.

The previous prime is 340610261. The next prime is 340610323. The reversal of 340610312 is 213016043.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84323 + ... + 88269.

It is an arithmetic number, because the mean of its divisors is an integer number (12080880).

Almost surely, 2340610312 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 340610312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386588160).

340610312 is an abundant number, since it is smaller than the sum of its proper divisors (432566008).

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

340610312 is a wasteful number, since it uses less digits than its factorization.

340610312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4050 (or 4046 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 340610312 is about 18455.6309022477. The cubic root of 340610312 is about 698.3705719395.

Adding to 340610312 its reverse (213016043), we get a palindrome (553626355).

The spelling of 340610312 in words is "three hundred forty million, six hundred ten thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 23 28 46 56 67 92 134 161 184 268 322 469 536 644 938 1288 1541 1876 3082 3752 3947 6164 7894 10787 12328 15788 21574 27629 31576 43148 55258 86296 90781 110516 181562 221032 264449 363124 528898 635467 726248 1057796 1270934 1851143 2115592 2541868 3702286 5083736 6082327 7404572 12164654 14809144 24329308 42576289 48658616 85152578 170305156 340610312