Search a number
-
+
344228248 = 237132272083
BaseRepresentation
bin10100100001001…
…000000110011000
3212222201121101101
4110201020012120
51201110300443
654054001144
711346614620
oct2441100630
9788647341
10344228248
11167342861
12973461b4
1356415070
1433a07880
152034884d
hex14848198

344228248 has 64 divisors (see below), whose sum is σ = 798255360. Its totient is φ = 135513216.

The previous prime is 344228233. The next prime is 344228321. The reversal of 344228248 is 842822443.

It is a super-2 number, since 2×3442282482 = 236986173442299008, which contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164215 + ... + 166297.

It is an arithmetic number, because the mean of its divisors is an integer number (12472740).

Almost surely, 2344228248 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 344228248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399127680).

344228248 is an abundant number, since it is smaller than the sum of its proper divisors (454027112).

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

344228248 is a wasteful number, since it uses less digits than its factorization.

344228248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2336 (or 2332 counting only the distinct ones).

The product of its digits is 98304, while the sum is 37.

The square root of 344228248 is about 18553.3891243622. The cubic root of 344228248 is about 700.8345475053.

The spelling of 344228248 in words is "three hundred forty-four million, two hundred twenty-eight thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 227 364 454 728 908 1589 1816 2083 2951 3178 4166 5902 6356 8332 11804 12712 14581 16664 20657 23608 27079 29162 41314 54158 58324 82628 108316 116648 165256 189553 216632 379106 472841 758212 945682 1516424 1891364 3309887 3782728 6146933 6619774 12293866 13239548 24587732 26479096 43028531 49175464 86057062 172114124 344228248