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2344412112 = 243710964013
BaseRepresentation
bin1000101110111100…
…1110001111010000
320001101102110211020
42023233032033100
514300132141422
61024344515440
7112045113510
oct21357161720
96041373736
102344412112
11aa33a5579
1255517bb80
132b4925003
1418350d840
15dac4595c
hex8bbce3d0

2344412112 has 80 divisors (see below), whose sum is σ = 6985207680. Its totient is φ = 663676416.

The previous prime is 2344412111. The next prime is 2344412117. The reversal of 2344412112 is 2112144432.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2344412111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4618 + ... + 68630.

It is an arithmetic number, because the mean of its divisors is an integer number (87315096).

Almost surely, 22344412112 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 2344412112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3492603840).

2344412112 is an abundant number, since it is smaller than the sum of its proper divisors (4640795568).

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

2344412112 is a wasteful number, since it uses less digits than its factorization.

2344412112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64140 (or 64134 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 2344412112 is about 48419.1296080382. The cubic root of 2344412112 is about 1328.4482839663.

Adding to 2344412112 its reverse (2112144432), we get a palindrome (4456556544).

The spelling of 2344412112 in words is "two billion, three hundred forty-four million, four hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 109 112 168 218 327 336 436 654 763 872 1308 1526 1744 2289 2616 3052 4578 5232 6104 9156 12208 18312 36624 64013 128026 192039 256052 384078 448091 512104 768156 896182 1024208 1344273 1536312 1792364 2688546 3072624 3584728 5377092 6977417 7169456 10754184 13954834 20932251 21508368 27909668 41864502 48841919 55819336 83729004 97683838 111638672 146525757 167458008 195367676 293051514 334916016 390735352 586103028 781470704 1172206056 2344412112