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19834344 = 2332833319
BaseRepresentation
bin100101110101…
…0010111101000
31101022200121100
41023222113220
520034144334
61545041400
7330406035
oct113522750
941280540
1019834344
1110217922
126786260
134155bca
1428c438c
151b1bc99
hex12ea5e8

19834344 has 48 divisors (see below), whose sum is σ = 54381600. Its totient is φ = 6529824.

The previous prime is 19834343. The next prime is 19834357. The reversal of 19834344 is 44343891.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 19834299 and 19834308.

It is not an unprimeable number, because it can be changed into a prime (19834343) 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 11 ways as a sum of consecutive naturals, for example, 4317 + ... + 7635.

It is an arithmetic number, because the mean of its divisors is an integer number (1132950).

Almost surely, 219834344 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 19834344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27190800).

19834344 is an abundant number, since it is smaller than the sum of its proper divisors (34547256).

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

19834344 is a wasteful number, since it uses less digits than its factorization.

19834344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3414 (or 3407 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 19834344 is about 4453.5765402651. The cubic root of 19834344 is about 270.6902503441.

The spelling of 19834344 in words is "nineteen million, eight hundred thirty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 166 249 332 498 664 747 996 1494 1992 2988 3319 5976 6638 9957 13276 19914 26552 29871 39828 59742 79656 119484 238968 275477 550954 826431 1101908 1652862 2203816 2479293 3305724 4958586 6611448 9917172 19834344