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2344014144 = 263211336013
BaseRepresentation
bin1000101110110110…
…1101000101000000
320001100200020220200
42023231231011000
514300031423034
61024332205200
7112041535323
oct21355550500
96040606820
102344014144
11aa315357a
12555009800
132b4815b24
141834487ba
15dabb7a99
hex8bb6d140

2344014144 has 84 divisors (see below), whose sum is σ = 6778338996. Its totient is φ = 774402048.

The previous prime is 2344014137. The next prime is 2344014163. The reversal of 2344014144 is 4414104432.

It can be written as a sum of positive squares in 2 ways, for example, as 404492544 + 1939521600 = 20112^2 + 44040^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47082 + ... + 83094.

Almost surely, 22344014144 is an apocalyptic number.

2344014144 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 2344014144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3389169498).

2344014144 is an abundant number, since it is smaller than the sum of its proper divisors (4434324852).

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

2344014144 is a wasteful number, since it uses less digits than its factorization.

2344014144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36144 (or 36131 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 2344014144 is about 48415.0198182341. The cubic root of 2344014144 is about 1328.3731109166.

Adding to 2344014144 its reverse (4414104432), we get a palindrome (6758118576).

The spelling of 2344014144 in words is "two billion, three hundred forty-four million, fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 113 144 192 226 288 339 452 576 678 904 1017 1356 1808 2034 2712 3616 4068 5424 7232 8136 10848 16272 21696 32544 36013 65088 72026 108039 144052 216078 288104 324117 432156 576208 648234 864312 1152416 1296468 1728624 2304832 2592936 3457248 4069469 5185872 6914496 8138938 10371744 12208407 16277876 20743488 24416814 32555752 36625221 48833628 65111504 73250442 97667256 130223008 146500884 195334512 260446016 293001768 390669024 586003536 781338048 1172007072 2344014144