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2344330144 = 251324197109
BaseRepresentation
bin1000101110111011…
…1010001110100000
320001101021022101101
42023232322032200
514300122031034
61024343044144
7112044322522
oct21356721640
96041238341
102344330144
11aa3349a32
12555140654
132b48c6900
141834cba12
15dac2b514
hex8bbba3a0

2344330144 has 144 divisors (see below), whose sum is σ = 5219870040. Its totient is φ = 1035141120.

The previous prime is 2344330139. The next prime is 2344330169. The reversal of 2344330144 is 4410334432.

2344330144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 96432400 + 2247897744 = 9820^2 + 47412^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21507562 + ... + 21507670.

Almost surely, 22344330144 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 2344330144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2609935020).

2344330144 is an abundant number, since it is smaller than the sum of its proper divisors (2875539896).

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

2344330144 is a wasteful number, since it uses less digits than its factorization.

2344330144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

The square root of 2344330144 is about 48418.2831583277. The cubic root of 2344330144 is about 1328.4328015464.

Adding to 2344330144 its reverse (4410334432), we get a palindrome (6754664576).

The spelling of 2344330144 in words is "two billion, three hundred forty-four million, three hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 41 52 82 97 104 109 164 169 194 208 218 328 338 388 416 436 533 656 676 776 872 1066 1261 1312 1352 1417 1552 1744 2132 2522 2704 2834 3104 3488 3977 4264 4469 5044 5408 5668 6929 7954 8528 8938 10088 10573 11336 13858 15908 16393 17056 17876 18421 20176 21146 22672 27716 31816 32786 35752 36842 40352 42292 45344 51701 55432 58097 63632 65572 71504 73684 84584 103402 110864 116194 127264 131144 137449 143008 147368 169168 206804 221728 232388 262288 274898 294736 338336 413608 433493 464776 524576 549796 589472 672113 755261 827216 866986 929552 1099592 1344226 1510522 1654432 1733972 1786837 1859104 2199184 2688452 3021044 3467944 3573674 4398368 5376904 5635409 6042088 6935888 7147348 10753808 11270818 12084176 13871776 14294696 21507616 22541636 24168352 28589392 45083272 57178784 73260317 90166544 146520634 180333088 293041268 586082536 1172165072 2344330144