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344110404 = 2231129241373
BaseRepresentation
bin10100100000101…
…011010101000100
3212222111121201210
4110200223111010
51201043013104
654051251420
711345614221
oct2440532504
9788447653
10344110404
11167272270
12972a9b70
13563a3531
14339b6948
1520323989
hex1482b544

344110404 has 96 divisors (see below), whose sum is σ = 912320640. Its totient is φ = 99993600.

The previous prime is 344110373. The next prime is 344110409. The reversal of 344110404 is 404011443.

It is not an unprimeable number, because it can be changed into a prime (344110409) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 922362 + ... + 922734.

It is an arithmetic number, because the mean of its divisors is an integer number (9503340).

Almost surely, 2344110404 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 344110404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456160320).

344110404 is an abundant number, since it is smaller than the sum of its proper divisors (568210236).

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

344110404 is a wasteful number, since it uses less digits than its factorization.

344110404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 344110404 is about 18550.2130445987. The cubic root of 344110404 is about 700.7545631990.

Adding to 344110404 its reverse (404011443), we get a palindrome (748121847).

The spelling of 344110404 in words is "three hundred forty-four million, one hundred ten thousand, four hundred four".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 241 319 348 373 482 638 723 746 957 964 1119 1276 1446 1492 1914 2238 2651 2892 3828 4103 4476 5302 6989 7953 8206 10604 10817 12309 13978 15906 16412 20967 21634 24618 27956 31812 32451 41934 43268 49236 64902 76879 83868 89893 118987 129804 153758 179786 230637 237974 269679 307516 356961 359572 461274 475948 539358 713922 922548 988823 1078716 1427844 1977646 2606897 2966469 3955292 5213794 5932938 7820691 10427588 11865876 15641382 28675867 31282764 57351734 86027601 114703468 172055202 344110404