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344122344 = 23344711299
BaseRepresentation
bin10100100000101…
…110001111101000
3212222112020010000
4110200232033220
51201043403334
654051423000
711345664066
oct2440561750
9788466100
10344122344
11167280235
12972b4a60
13563a8ab7
14339bb036
1520327299
hex1482e3e8

344122344 has 80 divisors (see below), whose sum is σ = 984456000. Its totient is φ = 112256928.

The previous prime is 344122301. The next prime is 344122349. The reversal of 344122344 is 443221443.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is not an unprimeable number, because it can be changed into a prime (344122349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24807 + ... + 36105.

It is an arithmetic number, because the mean of its divisors is an integer number (12305700).

Almost surely, 2344122344 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 344122344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492228000).

344122344 is an abundant number, since it is smaller than the sum of its proper divisors (640333656).

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

344122344 is a wasteful number, since it uses less digits than its factorization.

344122344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11364 (or 11351 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 344122344 is about 18550.5348709950. The cubic root of 344122344 is about 700.7626680714.

Adding to 344122344 its reverse (443221443), we get a palindrome (787343787).

Subtracting 344122344 from its reverse (443221443), we obtain a palindrome (99099099).

The spelling of 344122344 in words is "three hundred forty-four million, one hundred twenty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 81 94 108 141 162 188 216 282 324 376 423 564 648 846 1128 1269 1692 2538 3384 3807 5076 7614 10152 11299 15228 22598 30456 33897 45196 67794 90392 101691 135588 203382 271176 305073 406764 531053 610146 813528 915219 1062106 1220292 1593159 1830438 2124212 2440584 3186318 3660876 4248424 4779477 6372636 7321752 9558954 12745272 14338431 19117908 28676862 38235816 43015293 57353724 86030586 114707448 172061172 344122344