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20300344040 = 2351921405841
BaseRepresentation
bin10010111001111111…
…101010101011101000
31221101202200022211002
4102321333222223220
5313033342002130
613154214454132
71316030035334
oct227177525350
957352608732
1020300344040
118678018a39
123b26664348
131bb69961c2
14da81487c4
157dc2e6b45
hex4b9feaae8

20300344040 has 48 divisors (see below), whose sum is σ = 48206322180. Its totient is φ = 7692756480.

The previous prime is 20300344013. The next prime is 20300344049. The reversal of 20300344040 is 4044300302.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 19459692004 + 840652036 = 139498^2 + 28994^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (20300344049) 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, 688481 + ... + 717360.

Almost surely, 220300344040 is an apocalyptic number.

20300344040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20300344040 is an abundant number, since it is smaller than the sum of its proper divisors (27905978140).

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

20300344040 is a wasteful number, since it uses less digits than its factorization.

20300344040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405890 (or 1405867 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 20300344040 its reverse (4044300302), we get a palindrome (24344644342).

The spelling of 20300344040 in words is "twenty billion, three hundred million, three hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 361 380 722 760 1444 1805 2888 3610 7220 14440 1405841 2811682 5623364 7029205 11246728 14058410 26710979 28116820 53421958 56233640 106843916 133554895 213687832 267109790 507508601 534219580 1015017202 1068439160 2030034404 2537543005 4060068808 5075086010 10150172020 20300344040