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11314344 = 23323103199
BaseRepresentation
bin101011001010…
…010010101000
3210021211100210
4223022102220
510344024334
61042301120
7165112266
oct53122250
923254323
1011314344
1164286a8
1239577a0
132461ba2
141707436
15ed75e9
hexaca4a8

11314344 has 64 divisors (see below), whose sum is σ = 29952000. Its totient is φ = 3554496.

The previous prime is 11314313. The next prime is 11314363. The reversal of 11314344 is 44341311.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11314344.

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, 56757 + ... + 56955.

It is an arithmetic number, because the mean of its divisors is an integer number (468000).

Almost surely, 211314344 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 11314344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14976000).

11314344 is an abundant number, since it is smaller than the sum of its proper divisors (18637656).

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

11314344 is a wasteful number, since it uses less digits than its factorization.

11314344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 330 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 11314344 is about 3363.6801274794. The cubic root of 11314344 is about 224.4966128956.

Adding to 11314344 its reverse (44341311), we get a palindrome (55655655).

The spelling of 11314344 in words is "eleven million, three hundred fourteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 103 138 184 199 206 276 309 398 412 552 597 618 796 824 1194 1236 1592 2369 2388 2472 4577 4738 4776 7107 9154 9476 13731 14214 18308 18952 20497 27462 28428 36616 40994 54924 56856 61491 81988 109848 122982 163976 245964 471431 491928 942862 1414293 1885724 2828586 3771448 5657172 11314344