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12320300340 = 22335191200809
BaseRepresentation
bin10110111100101100…
…01101110100110100
31011210121211002211000
423132112031310310
5200212444102330
65354310443300
7614210552655
oct133626156464
934717732730
1012320300340
115252540aa7
12247a063530
13121461c65a
1484c39752c
154c193e560
hex2de58dd34

12320300340 has 96 divisors (see below), whose sum is σ = 40347216000. Its totient is φ = 3112494336.

The previous prime is 12320300327. The next prime is 12320300387. The reversal of 12320300340 is 4300302321.

12320300340 is a `hidden beast` number, since 1 + 2 + 3 + 20 + 300 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 590145 + ... + 610664.

It is an arithmetic number, because the mean of its divisors is an integer number (420283500).

Almost surely, 212320300340 is an apocalyptic number.

12320300340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12320300340 is an abundant number, since it is smaller than the sum of its proper divisors (28026915660).

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

12320300340 is a wasteful number, since it uses less digits than its factorization.

12320300340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200846 (or 1200838 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 12320300340 its reverse (4300302321), we get a palindrome (16620602661).

The spelling of 12320300340 in words is "twelve billion, three hundred twenty million, three hundred thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 90 95 108 114 135 171 180 190 228 270 285 342 380 513 540 570 684 855 1026 1140 1710 2052 2565 3420 5130 10260 1200809 2401618 3602427 4803236 6004045 7204854 10807281 12008090 14409708 18012135 21614562 22815371 24016180 32421843 36024270 43229124 45630742 54036405 64843686 68446113 72048540 91261484 108072810 114076855 129687372 136892226 162109215 205338339 216145620 228153710 273784452 324218430 342230565 410676678 456307420 616015017 648436860 684461130 821353356 1026691695 1232030034 1368922260 2053383390 2464060068 3080075085 4106766780 6160150170 12320300340