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2344064112 = 24321310312157
BaseRepresentation
bin1000101110110111…
…1001010001110000
320001100202210110100
42023231321101300
514300040022422
61024333232400
7112042134105
oct21355712160
96040683410
102344064112
11aa3188075
12555032700
132b48327b0
1418345caac
15dabc77ac
hex8bb79470

2344064112 has 120 divisors (see below), whose sum is σ = 7133925344. Its totient is φ = 714189312.

The previous prime is 2344064081. The next prime is 2344064131. The reversal of 2344064112 is 2114604432.

It is a happy number.

2344064112 is a `hidden beast` number, since 2 + 3 + 4 + 4 + 0 + 641 + 12 = 666.

2344064112 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×23440641122 = 10989273122332697088, which contains 22 as substring.

It is a congruent number.

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, 186738 + ... + 198894.

Almost surely, 22344064112 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 2344064112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3566962672).

2344064112 is an abundant number, since it is smaller than the sum of its proper divisors (4789861232).

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

2344064112 is a wasteful number, since it uses less digits than its factorization.

2344064112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12287 (or 12278 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2344064112 is about 48415.5358536906. The cubic root of 2344064112 is about 1328.3825499490.

Adding to 2344064112 its reverse (2114604432), we get a palindrome (4458668544).

The spelling of 2344064112 in words is "two billion, three hundred forty-four million, sixty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 103 104 117 144 156 206 208 234 309 312 412 468 618 624 824 927 936 1236 1339 1648 1854 1872 2472 2678 3708 4017 4944 5356 7416 8034 10712 12051 12157 14832 16068 21424 24102 24314 32136 36471 48204 48628 64272 72942 96408 97256 109413 145884 158041 192816 194512 218826 291768 316082 437652 474123 583536 632164 875304 948246 1252171 1264328 1422369 1750608 1896492 2504342 2528656 2844738 3756513 3792984 5008684 5689476 7513026 7585968 10017368 11269539 11378952 15026052 16278223 20034736 22539078 22757904 30052104 32556446 45078156 48834669 60104208 65112892 90156312 97669338 130225784 146504007 180312624 195338676 260451568 293008014 390677352 586016028 781354704 1172032056 2344064112