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12340235424 = 2531111685829
BaseRepresentation
bin10110111111000100…
…10000110010100000
31011212000022220121110
423133202100302200
5200233100013144
65400302023320
7614542161516
oct133742206240
934760286543
1012340235424
115262817580
122484877b40
1312187ac36a
14850ca64b6
154c357b0b9
hex2df890ca0

12340235424 has 48 divisors (see below), whose sum is σ = 35337949920. Its totient is φ = 3739464960.

The previous prime is 12340235359. The next prime is 12340235431. The reversal of 12340235424 is 42453204321.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 12340235391 and 12340235400.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5841859 + ... + 5843970.

It is an arithmetic number, because the mean of its divisors is an integer number (736207290).

Almost surely, 212340235424 is an apocalyptic number.

It is an amenable number.

12340235424 is an abundant number, since it is smaller than the sum of its proper divisors (22997714496).

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

12340235424 is a wasteful number, since it uses less digits than its factorization.

12340235424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11685853 (or 11685845 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 12340235424 its reverse (42453204321), we get a palindrome (54793439745).

The spelling of 12340235424 in words is "twelve billion, three hundred forty million, two hundred thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 11685829 23371658 35057487 46743316 70114974 93486632 128544119 140229948 186973264 257088238 280459896 373946528 385632357 514176476 560919792 771264714 1028352952 1121839584 1542529428 2056705904 3085058856 4113411808 6170117712 12340235424