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2344111104 = 21035231459
BaseRepresentation
bin1000101110111000…
…0100110000000000
320001100212011220210
42023232010300000
514300043023404
61024334234120
7112042421106
oct21356046000
96040764823
102344111104
11aa320a405
12555055940
132b484acba
14183471c76
15dabd6689
hex8bb84c00

2344111104 has 88 divisors (see below), whose sum is σ = 6264147520. Its totient is φ = 779341824.

The previous prime is 2344111069. The next prime is 2344111117. The reversal of 2344111104 is 4011114432.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1605927 + ... + 1607385.

Almost surely, 22344111104 is an apocalyptic number.

2344111104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2344111104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3132073760).

2344111104 is an abundant number, since it is smaller than the sum of its proper divisors (3920036416).

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

2344111104 is a wasteful number, since it uses less digits than its factorization.

2344111104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2005 (or 1987 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2344111104 is about 48416.0211500284. The cubic root of 2344111104 is about 1328.3914266879.

Adding to 2344111104 its reverse (4011114432), we get a palindrome (6355225536).

The spelling of 2344111104 in words is "two billion, three hundred forty-four million, one hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 523 768 1024 1046 1459 1536 1569 2092 2918 3072 3138 4184 4377 5836 6276 8368 8754 11672 12552 16736 17508 23344 25104 33472 35016 46688 50208 66944 70032 93376 100416 133888 140064 186752 200832 267776 280128 373504 401664 535552 560256 747008 763057 803328 1120512 1494016 1526114 1606656 2241024 2289171 3052228 4482048 4578342 6104456 9156684 12208912 18313368 24417824 36626736 48835648 73253472 97671296 146506944 195342592 293013888 390685184 586027776 781370368 1172055552 2344111104