Search a number
-
+
344402322 = 2311192311941
BaseRepresentation
bin10100100001110…
…010100110010010
3220000001110011120
4110201302212102
51201131333242
654101423110
711351241255
oct2441624622
9800043146
10344402322
11167451620
129740aa96
1356476374
1433a5109c
15203801ec
hex14872992

344402322 has 64 divisors (see below), whose sum is σ = 825431040. Its totient is φ = 94564800.

The previous prime is 344402309. The next prime is 344402329. The reversal of 344402322 is 223204443.

It is a super-2 number, since 2×3444023222 = 237225918797983368, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 344402292 and 344402301.

It is not an unprimeable number, because it can be changed into a prime (344402329) 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, 22872 + ... + 34812.

It is an arithmetic number, because the mean of its divisors is an integer number (12897360).

Almost surely, 2344402322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344402322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412715520).

344402322 is an abundant number, since it is smaller than the sum of its proper divisors (481028718).

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

344402322 is a wasteful number, since it uses less digits than its factorization.

344402322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11999.

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 344402322 is about 18558.0796959168. The cubic root of 344402322 is about 700.9526634309.

Adding to 344402322 its reverse (223204443), we get a palindrome (567606765).

The spelling of 344402322 in words is "three hundred forty-four million, four hundred two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 19 22 23 33 38 46 57 66 69 114 138 209 253 418 437 506 627 759 874 1254 1311 1518 2622 4807 9614 11941 14421 23882 28842 35823 71646 131351 226879 262702 274643 394053 453758 549286 680637 788106 823929 1361274 1647858 2495669 3021073 4991338 5218217 6042146 7487007 9063219 10436434 14974014 15654651 18126438 31309302 57400387 114800774 172201161 344402322