Search a number
-
+
203404343222340 = 223651317711018803
BaseRepresentation
bin101110001111111011000011…
…100111111010000001000100
3222200012021011102000021000000
4232033323003213322001010
5203130034043331103330
62000334355411321300
760562323146254461
oct5617730347720104
9880167142007000
10203404343222340
11598a1330010677
121a99115abb0230
138965c411a0a60
143832b73858668
15187b03164c560
hexb8fec39fa044

203404343222340 has 1344 divisors, whose sum is σ = 747967444019712. Its totient is φ = 45994604544000.

The previous prime is 203404343222321. The next prime is 203404343222347. The reversal of 203404343222340 is 43222343404302.

203404343222340 is a `hidden beast` number, since 2 + 0 + 340 + 43 + 43 + 2 + 2 + 234 + 0 = 666.

It is a super-2 number, since 2×2034043432223402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 203404343222295 and 203404343222304.

It is not an unprimeable number, because it can be changed into a prime (203404343222347) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 23106248379 + ... + 23106257181.

It is an arithmetic number, because the mean of its divisors is an integer number (556523395848).

Almost surely, 2203404343222340 is an apocalyptic number.

203404343222340 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 203404343222340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373983722009856).

203404343222340 is an abundant number, since it is smaller than the sum of its proper divisors (544563100797372).

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

203404343222340 is a wasteful number, since it uses less digits than its factorization.

203404343222340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9032 (or 9015 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

Adding to 203404343222340 its reverse (43222343404302), we get a palindrome (246626686626642).

The spelling of 203404343222340 in words is "two hundred three trillion, four hundred four billion, three hundred forty-three million, two hundred twenty-two thousand, three hundred forty".