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12341458400 = 255222136971
BaseRepresentation
bin10110111111001101…
…11011010111100000
31011212002122001012212
423133212323113200
5200233403132100
65400344141252
7614555444165
oct133746732740
934762561185
1012341458400
1152634823a7
122485167828
131218b19c0b
1485110406c
154c371d635
hex2df9bb5e0

12341458400 has 72 divisors (see below), whose sum is σ = 30146523624. Its totient is φ = 4933644800.

The previous prime is 12341458351. The next prime is 12341458403. The reversal of 12341458400 is 485414321.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12341458403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1766915 + ... + 1773885.

It is an arithmetic number, because the mean of its divisors is an integer number (418701717).

Almost surely, 212341458400 is an apocalyptic number.

12341458400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12341458400 is an abundant number, since it is smaller than the sum of its proper divisors (17805065224).

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

12341458400 is a wasteful number, since it uses less digits than its factorization.

12341458400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9204 (or 9191 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The spelling of 12341458400 in words is "twelve billion, three hundred forty-one million, four hundred fifty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 2213 4426 6971 8852 11065 13942 17704 22130 27884 34855 35408 44260 55325 55768 69710 70816 88520 110650 111536 139420 174275 177040 221300 223072 278840 348550 354080 442600 557680 697100 885200 1115360 1394200 1770400 2788400 5576800 15426823 30853646 61707292 77134115 123414584 154268230 246829168 308536460 385670575 493658336 617072920 771341150 1234145840 1542682300 2468291680 3085364600 6170729200 12341458400