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12340300 = 2252717261
BaseRepresentation
bin101111000100…
…110001001100
3212012221201011
4233010301030
511124342200
61120255004
7206614360
oct57046114
925187634
1012340300
116a694a5
124171464
132730b6b
1418d32a0
15113b5ba
hexbc4c4c

12340300 has 108 divisors (see below), whose sum is σ = 33043024. Its totient is φ = 3916800.

The previous prime is 12340271. The next prime is 12340309. The reversal of 12340300 is 304321.

It is not an unprimeable number, because it can be changed into a prime (12340309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 202270 + ... + 202330.

Almost surely, 212340300 is an apocalyptic number.

12340300 is a gapful number since it is divisible by the number (10) 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 12340300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16521512).

12340300 is an abundant number, since it is smaller than the sum of its proper divisors (20702724).

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

12340300 is a wasteful number, since it uses less digits than its factorization.

12340300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 12340300 is about 3512.8763143612. The cubic root of 12340300 is about 231.0868535177.

Adding to 12340300 its reverse (304321), we get a palindrome (12644621).

The spelling of 12340300 in words is "twelve million, three hundred forty thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 61 68 70 85 100 119 122 140 170 175 238 244 289 305 340 350 425 427 476 578 595 610 700 850 854 1037 1156 1190 1220 1445 1525 1700 1708 2023 2074 2135 2380 2890 2975 3050 4046 4148 4270 5185 5780 5950 6100 7225 7259 8092 8540 10115 10370 10675 11900 14450 14518 17629 20230 20740 21350 25925 28900 29036 35258 36295 40460 42700 50575 51850 70516 72590 88145 101150 103700 123403 145180 176290 181475 202300 246806 352580 362950 440725 493612 617015 725900 881450 1234030 1762900 2468060 3085075 6170150 12340300