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1305053343 = 331171199311
BaseRepresentation
bin100110111001001…
…1000100010011111
310100221200120122000
41031302120202133
510133043201333
6333255453343
744224525146
oct11562304237
93327616560
101305053343
1160a739990
12305087253
1317a4b7119
14c547875d
157988c713
hex4dc9889f

1305053343 has 64 divisors (see below), whose sum is σ = 2156544000. Its totient is φ = 773388000.

The previous prime is 1305053341. The next prime is 1305053401. The reversal of 1305053343 is 3433505031.

It is a happy number.

1305053343 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1305053343 - 21 = 1305053341 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305053341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4196158 + ... + 4196468.

It is an arithmetic number, because the mean of its divisors is an integer number (33696000).

Almost surely, 21305053343 is an apocalyptic number.

1305053343 is a deficient number, since it is larger than the sum of its proper divisors (851490657).

1305053343 is a wasteful number, since it uses less digits than its factorization.

1305053343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

The square root of 1305053343 is about 36125.5220446709. The cubic root of 1305053343 is about 1092.8052040346.

Adding to 1305053343 its reverse (3433505031), we get a palindrome (4738558374).

The spelling of 1305053343 in words is "one billion, three hundred five million, fifty-three thousand, three hundred forty-three".

Divisors: 1 3 9 11 27 33 71 99 199 213 297 311 597 639 781 933 1791 1917 2189 2343 2799 3421 5373 6567 7029 8397 10263 14129 19701 21087 22081 30789 42387 59103 61889 66243 92367 127161 155419 185667 198729 242891 381483 466257 557001 596187 680779 728673 1398771 1671003 2042337 2186019 4196313 4394119 6127011 6558057 13182357 18381033 39547071 48335309 118641213 145005927 435017781 1305053343