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12304240344 = 233211117113267
BaseRepresentation
bin10110111010110001…
…11100111011011000
31011202111121011122100
423131120330323120
5200144341142334
65352534323400
7613624213554
oct133530747330
934674534570
1012304240344
115244471980
1224747b9560
1312111b86b6
1484a1b6864
154c031ac99
hex2dd63ced8

12304240344 has 96 divisors (see below), whose sum is σ = 36387224640. Its totient is φ = 3725092800.

The previous prime is 12304240339. The next prime is 12304240357. The reversal of 12304240344 is 44304240321.

It is a happy number.

12304240344 is a `hidden beast` number, since 1 + 230 + 424 + 0 + 3 + 4 + 4 = 666.

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, 920799 + ... + 934065.

It is an arithmetic number, because the mean of its divisors is an integer number (379033590).

Almost surely, 212304240344 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 12304240344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18193612320).

12304240344 is an abundant number, since it is smaller than the sum of its proper divisors (24082984296).

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

12304240344 is a wasteful number, since it uses less digits than its factorization.

12304240344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14461 (or 14454 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 12304240344 its reverse (44304240321), we get a palindrome (56608480665).

The spelling of 12304240344 in words is "twelve billion, three hundred four million, two hundred forty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 1171 2342 3513 4684 7026 9368 10539 12881 13267 14052 21078 25762 26534 28104 38643 39801 42156 51524 53068 77286 79602 84312 103048 106136 115929 119403 145937 154572 159204 231858 238806 291874 309144 318408 437811 463716 477612 583748 875622 927432 955224 1167496 1313433 1751244 2626866 3502488 5253732 10507464 15535657 31071314 46606971 62142628 93213942 124285256 139820913 170892227 186427884 279641826 341784454 372855768 512676681 559283652 683568908 1025353362 1118567304 1367137816 1538030043 2050706724 3076060086 4101413448 6152120172 12304240344