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20300343400 = 2352476732233
BaseRepresentation
bin10010111001111111…
…101010100001101000
31221101202200021221101
4102321333222201220
5313033341442100
613154214451144
71316030033431
oct227177524150
957352607841
1020300343400
118678018507
123b26663ab4
131bb6995b1c
14da8148488
157dc2e686a
hex4b9fea868

20300343400 has 96 divisors (see below), whose sum is σ = 48923475840. Its totient is φ = 7828508160.

The previous prime is 20300343383. The next prime is 20300343409. The reversal of 20300343400 is 434300302.

It is not an unprimeable number, because it can be changed into a prime (20300343409) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 613684 + ... + 645916.

It is an arithmetic number, because the mean of its divisors is an integer number (509619540).

Almost surely, 220300343400 is an apocalyptic number.

20300343400 is a gapful number since it is divisible by the number (20) 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 20300343400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24461737920).

20300343400 is an abundant number, since it is smaller than the sum of its proper divisors (28623132440).

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

20300343400 is a wasteful number, since it uses less digits than its factorization.

20300343400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32363 (or 32354 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

Adding to 20300343400 its reverse (434300302), we get a palindrome (20734643702).

The spelling of 20300343400 in words is "twenty billion, three hundred million, three hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 67 94 100 134 188 200 235 268 335 376 470 536 670 940 1175 1340 1675 1880 2350 2680 3149 3350 4700 6298 6700 9400 12596 13400 15745 25192 31490 32233 62980 64466 78725 125960 128932 157450 161165 257864 314900 322330 629800 644660 805825 1289320 1514951 1611650 2159611 3029902 3223300 4319222 6059804 6446600 7574755 8638444 10798055 12119608 15149510 17276888 21596110 30299020 37873775 43192220 53990275 60598040 75747550 86384440 101501717 107980550 151495100 203003434 215961100 302990200 406006868 431922200 507508585 812013736 1015017170 2030034340 2537542925 4060068680 5075085850 10150171700 20300343400