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306053016400 = 2452765132541
BaseRepresentation
bin1000111010000100010…
…11100110101101010000
31002020222100202010020201
410131002023212231100
520003244033011100
6352333202144544
731053164500435
oct4350213465520
91066870663221
10306053016400
11108883a4909a
124b394652154
1322b25b9aa11
1410b54dd1b8c
157e63cba36a
hex47422e6b50

306053016400 has 30 divisors (see below), whose sum is σ = 735292372862. Its totient is φ = 122421206400.

The previous prime is 306053016391. The next prime is 306053016407. The reversal of 306053016400 is 4610350603.

It can be written as a sum of positive squares in 3 ways, for example, as 2861822016 + 303191194384 = 53496^2 + 550628^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306053016407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 382565871 + ... + 382566670.

Almost surely, 2306053016400 is an apocalyptic number.

It is an amenable number.

306053016400 is an abundant number, since it is smaller than the sum of its proper divisors (429239356462).

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

306053016400 is a wasteful number, since it uses less digits than its factorization.

306053016400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765132559 (or 765132548 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The spelling of 306053016400 in words is "three hundred six billion, fifty-three million, sixteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 765132541 1530265082 3060530164 3825662705 6121060328 7651325410 12242120656 15302650820 19128313525 30605301640 38256627050 61210603280 76513254100 153026508200 306053016400